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WorksheetsIII. Probability
Total questions: 133
Worksheet time: 5hrs 24mins
The letters that form the word ALGEBRA are placed in a bowl.
What is the probability of choosing a letter that is NOT “A”?
72
495
75
4910
What is the probability of spinning an EVEN number?
16 32 %
33 31 %
50%
75%
0
.25
.50
1
What is the probability of selecting a brown M&M from a bowl containing 4 yellow, 6 orange, 2 brown, 3 green & 5 blue?
182
91
202
101
0%
41 or 25%
21 or 50%
100%
0%
41 or 25%
21 or 50%
100%
What is the probability of spinning an odd number or the number 4?
32
31
65
21
What is the probability of spinning a red OR a yellow?
81
161
21
31
Find the probability of NOT rolling a 2 on a single die.
.17
.33
.83
2.0
What is the probability of spinning green?
0
.25
.5
.75
What is the probability of landing on a red space?
.25
.42
.50
.37
Reduce the fraction to simplest form
246
81
32
21
41
One card is drawn from a shuffled deck. What is the probability it is an Ace?
131
521
5213
364
One card is drawn from a shuffled deck. What is the probability it is a King or a Club?
5216
5217
5228
5230
Two dice are rolled. What is the probability the sum of the dice is greater than 9?
366
3610
364
363
Two dice are rolled. What is the probability that neither of the two dice shows a "five"?
3625
3611
3621
3624
Two dice are rolled. What is the probability the dice have a sum of 5?
364
365
363
3621
"Would you rather have gym class in the morning of afternoon?"
What is P(grade 8)?
10038
10021
10076
10018
"Would you rather have gym class in the morning of afternoon?"
What is P(morning or grade 6)?
10053
10068
10045
10015
"Would you rather have gym class in the morning of afternoon?"
What is P(grade 10 or afternoon)?
10067
10093
10071
10026
"Would you rather have gym class in the morning of afternoon?"
What is P(grade 8 and morning)?
10018
10066
10083
10073
A fair die is rolled 100 times. Which of these graphs shows is a most likely display of the results?
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
134
278
31
What is the probability of spinning an even number?
16 2/3%
33 1/3%
50%
75%
A box has 3 limes, 5 grapes, and 2 oranges. Find P(NOT lime).
103
21
107
51
A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens. Find P( NOT red or blue).
53
52
103
107
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
21
101
103
31
P(not A) =
82
43
32
41
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
115
65
31
21
The spinner shown is spun.
Find P(number less than 6).
75%
12.5%
62.5%
37.5%
40%
15%
37.5%
14%
25%
12%
12%
28%
50%
5.9 ounces
10 ounces
4.8 ounces
29 teens
200 teens
68 teens
Find the total number of outcomes.
6
216
18
Find the total number of outcomes.
9
24
18
Find the total number of outcomes.
8
16
64
Find the probability.
41
21
81
Find the probability.
81
161
32
Find the probability.
710
4910
72
Find the probability. (The numbers are 1-10)
21
101
1001
A bag contains 18 jerseys, 9 white and 9 red. Find the probability that you would randomly choose a white jersey, not put it back, and then choose a red jersey
189×178
189×179
189×189
189×188
A fruit basket contains 3 bananas, 4 oranges, and 5 apples. You randomly choose and eat three pieces of fruit. Find the probability that you would have a banana, then an apple, then another banana.
123×122×121
123×115×102
123×125×123
123×115×103
There are 10 blue socks and 12 brown socks in a drawer. Find the probability of reaching in and getting two blue socks without looking.
2210×2110
2210×219
2210×2210
2210×2112
Team A, Team B, Team C, Team D, and Team E are all competing in a relay race. Starting positions are chosen at random. Find the probability that Team B will start in the 1st position and Team E will start in the 2nd position.
51×51
52×51
51×41
51×42
There are 2 blue, 6 green, 5 yellow, 7 purple and 3 blue marbles in a bag. You randomly draw two marbles from the bag without replacing the first one. Find the probability of getting a green marble and then a yellow marble.
2311×2210
2311×2310
236×235
236×225
Find each probability of picking a V, then a K, if you pick a card, do not replace it, and then pick a second card.
641
321
561
161
Find each probability of picking a R, then another R, if you pick a card, do not replace it, and then pick a second card.
281
321
161
2811
Find the probability of picking a yellow, and then not a yellow, if you pick two marbles without replacing the first.
275
245
121
92
Find the probability of picking a green and then another green, if you pick two marbles without replacing the first.
274
8116
92
61
Carrie has four different cheerleading tops: a purple tank, a purple sweater, a gold tank, and a gold sweater. What is the probability of Carrie randomly selecting a gold top on Monday, then randomly selecting a purple top on Tuesday, if she doesn't wear the same thing two days in a row?
41
31
21
74
The teacher of a class that contains 12 boys and 16 girls needs to pick two volunteers. She randomly selects one student, and then selects another student from the class. What is the probability that she picks two girls?
6320
4916
2561
4915
Find the probability of getting not white on the first spinner and a y on the second spinner.
256
103
154
52
In a game of checkers, there are 12 red pieces and 12 black pieces. Julio is setting up the board to begin playing. What is the probability that the first two checkers he pulls from the box at random are red followed by a black?
41
4612
1441
4611
(a) the first marble green and the second marble red
(b) two marbles are the same colour.
31, 10531
155,212
31,352
155, 71
(a) If two members are chosen at random from the Rugby, calculate the probability that both of them will be going to Melaka.
2617
2516
54
325136
(b) If two members are chosen at random from the group to Pahang, calculate the probability that both of them are from the same society.
233
9235
9247
249
(a) If two students are chosen at random from the Taman Penawar, calculate the probability that one of the students is girl and the other one is boy.
84
94
85
95
(b) If two students are chosen at random from boy group, calculate the probability that both of the students are from the same residential area.
155
212
10534
10525
In a quiz contest, there are three categories of questions consisting of 5 questions on Chemistry, 3questions on Biology and 7 questions on Physic. Each question is placed inside an envelope. All of the envelopes are similar and put inside a box. All the participants of the quiz contest are requested to pick at random two envelopes from the box. Find the probability that the first participant picks
(a) the first envelope with a Chemistry question and the second envelope with an Biology question.
(b) two envelopes with question at the same category.
141, 10534
155,10533
143,1053
185, 1045
A group of 5 boys and 4 girls take part in science exhibitions. Each day, two pupils are chosen at random to give presentation.
(a) Calculate the probability that both pupils chosen to give presentation on the first day are boys.
(b) Two boys do give presentation on the first day. They are then exempted from giving presentation on the second day.
Calculate the probability that both pupils chosen to give presentation on the second day are of the same gander.
185, 73
95,73
84,62
185, 62
(a) If two volunteers are dropped off at Kota Tinggi, calculate the probability that both are males.
128
117
3313
(b) Two volunteers of different gender are dropped off at Kota Tinggi. If two other volunteers are thendropped at Segamat, calculate the probability that at least one of them is female.
103
158
97
1513
The group 7 boys and 3 girls from KRS squad are chosen for duty on cross country day. Each station, twopupils are chosen at random at each station to perform their duties.
(a) If two of the pupils are selected to duty at Station A. Calculate the probability that both aregirls.
(b) Two boys from that group are duty at Station A. Another two pupils are selected at random to be on duty at Station B.
Calculate the probability that both pupils chosen for Station B are of different gender.
151,105
151,103
152,103
121,121
121, 122
121,123
122, 123
121,403
61,6011
61,6011
169,1201
169,12011
103,1201
121
61
365
0.4
0.6
0.7
1
3
6
8
9
30
20
10
15
0.182
0.192
0.202
0.212
Yes
No
Probably
Probably Not
What is the probability that a chosen student is a girl?
10040
6040
4030
6055
4035
6040
10035
6035
4036
6040
10035
6035
4535
6040
10035
6035
100
20
25
You can't tell.
100
20
25
You can't tell.
Use the spinner to determine the probability of the given event.
Find P(red)
17
1
76
Use the spinner to determine the probability of the given event.
Find P(blue or yellow)
47
73
37
Use the spinner to determine the probability of the given event.
Find P'(green)
76
67
71
17
Use the spinner to determine the probability of the given event.
Find P(evens)
21
41
83
81
Use the spinner to determine the probability of the given event.
Find P(5 or 7)
21
41
83
81
What is the probability of a spinner landing
on the number 1?
21
41
83
81
Use the spinner to determine the probability of the given event.
Find P'(8)
21
41
87
81
Find the product of 53⋅34 in simplified form.
812
157
54
87
A die is rolled 50 times. It lands on six 37 times. What is the experimental probability of the dice landing on six?
5037
5013
8737
3713
A die is rolled 50 times. What is the theoretical probability of the dice landing on six?
506
61
650
325
There are 10 blue socks and 12 brown socks in a drawer. Find the probability of reaching in and getting two blue socks without looking.
2210×2110
2210×219
2210×2210
2210×2112
Find each probability of picking a R, then another R, if you pick a card, do not replace it, and then pick a second card.
281
321
161
2811
Theoretically, what is the probability of rolling a sum of two with a pair of dice (Rounded)?
0
.17
.083
.03
What is the probability of drawing an odd number, then drawing a 6? (no replacement--dependent event)
3/8
3/7
9/56
5/37
What is the probability of drawing a 2, then drawing another 2? (no replacement--dependent event)
2/8 = 1/4
2/56 = 1/28
1/7
3/7
What is the probability of drawing number divisible by 3, then drawing a 1? (no replacement--dependent event)
4/8 = 1/2
2/7
4/9
8/56 = 1/7
What is the probability of drawing a 1, then drawing a 6? (no replacement--dependent event)
6/56 = 3/28
3/7
2/8 = 1/4
8/56 = 1/7
What is the probability of drawing a prime number, then drawing a composite number? (no replacement--dependent event)
6/56 = 3/28
4/8 = 1/2
16/56 = 2/7
8/56 = 1/7
What is the probability of drawing a 9, then drawing another 9? (no replacement--dependent event)
1/8
4/8 = 1/2
0
2/9
What is the probability of drawing a 9, then drawing a number divisible by 1? (no replacement--dependent event)
8/56 = 1/7
1/8
8/7
2/9
What is the probability of drawing an even number, then drawing a 1? (no replacement--dependent event)
5/8
2/7
10/56 = 5/28
2/56 = 1/28
What is the probability of drawing a 6, then drawing an odd number? (no replacement--dependent event)
3/8
9/56
10/56 = 5/28
3/7
P(white, then purple, then black)
A bag has 2 yellow marbles and 8 brown marbles. Nancy takes out two marbles without replacing the marbles. What is the probability that they will both be yellow?
2/19
1/10
1/25
1/45
Dependent probability happens when the first item is not replaced, causing the total outcomes to decrease by 1.
true
false
A bag contains 2 striped cubes, 5 dotted cubes, 5 white cubes and 3 red cubes. What is the probability of drawing two striped cubes in succession, without replacing the first cube drawn?
independent
dependent
A pocket contains 3 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime, replacing it, and then drawing a penny?
independent
dependent
A pocket contains 3 pennies, 2 nickels, 3 quarters and 4 dimes. What is the probability of randomly choosing a quarter two times in a row if the first coin drawn is not replaced?
dependent
independent
Clinton has a bag of Skittles™. Inside the bag are 6 red, 4 orange, 7 yellow, 3 purple and 4 green Skittles™. What is the probability of drawing a green Skittle™, replacing it, and then drawing another green Skittle™?
independent
dependent
Determine if the events are independent or dependent.
Independent
Dependent
Determine if the events are independent or dependent.
Independent
Dependent
Determine if the events are independent or dependent.
Independent
Dependent
Determine if the events are independent or dependent.
Independent
Dependent
Determine whether the scenario involves independent or dependent events. Then find the probability.
Independent; 0.25
Dependent; 0.273
Dependent; 0.091
Dependent; 0.182
Find the theoretical probability of rolling a 1. Please leave your answer in fraction form.
(a)
Find the experimental probability of rolling a 1?
Please leave your answer in fraction form.
(a)
What is the theoretical probability of NOT rolling a 5? Please leave your answer in fraction form.
(a)
What is the experimental probability of NOT
rolling a 5. Please leave your answer in fraction form.
(a)
