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Worksheets10.A - Independent / Dependent / Compound Events
Total questions: 19
Worksheet time: 57mins
Are the events considered independent or dependent?
Independent
Dependent
Are the events considered independent or dependent?
Independent
Dependent
Are the events considered independent or dependent?
Independent
Dependent
You are playing a game that requires rolling a die twice. Using a sample space, what formula would you use to prove that rolling a 2 and then a 6 are considered independent events?
(1/6)(1/6) = 1/36
(2/6)(6/6) = 12/36
(1/6) + (1/6) = 2/6
(2/6) + (6/6) = 8/6
A game show host picks contestants for a game from an audience of 150. Would the following events be considered independent or dependent?
A: The host randomly chooses a 30 year old
B: Then the host randomly chooses a 19 year old
Independent
Dependent
A hat contains 10 pieces of paper numbered 1 through 10. Find the probability that you randomly choose the number 1, you replace the number, and then you randomly choose the number 10.
1/10
1/20
1/100
1/50
A hat contains 10 pieces of paper numbered 1 through 10. Find the probability that you randomly choose the number 5, you do not replace the number, and then you randomly choose the number 6.
1/10
1/90
1/100
1/9
Find the probability:
60%
80%
140%
48%
You are playing a game that requires flipping a coin twice. Using a sample space, which formula would you use to prove that flipping heads and then tails are independent events?
(1/2)(1/2) = (1/4)
(1/2) + (1/2) = 1
(1/2)(1/4) = (1/8)
(1/2) + (1/4) = (3/4)
You are playing a game that requires flipping a coin twice. What would be the sample space for this event?
{HH, HT, TH, TT}
{HHH, TTT, HTT, THT, TTH, HHT, HTH, THH}
{H, T}
{1, 2, 3, 4, 5, 6}
You are playing a game that requires rolling a die twice. What would be the sample space for this event?
{1, 2, 3, 4, 5, 6}
{HH, HT, TH, TT}
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)}
A teacher has a class of 5 students, two females and three males. If the teacher chooses a group of two students, what is the probability that a girl will be chosen first and a girl will be chosen second?
10%
16%
8%
12%
A teacher has a class of 5 students, two girls and three boys. If the teacher chooses a group of two students, create a sample space for this situation.
{GG, BB, GB, BG}
{G1G2, G1B1, G1B2, G1B3, G2G1, G2B1, G2B2, G2B3, B1B2, B1B3, B1G1, B1G2, B2B1, B2B3, B2G1, B2G2, B3B1, B3B2, B3G1, B3G2}
{BBBGG, BBGGB, BGGBB, GGBBB, GBBBG, BBGBB}
{B, G}
A teacher has a class of 5 students, two females and three males. If the teacher chooses a group of two students, are these events independent or dependent?
A: The teacher chooses a girl first
B: The teacher chooses a boy second
independent
dependent
A sack contains 26 letters of the alphabet, each printed on a separate wooden tile. Find the probability that you randomly draw the letter T, replace the letter, and then you randomly draw a vowel.
.0015
.0074
.0077
.0056
A sack contains 26 letters of the alphabet, each printed on a separate wooden tile. Find the probability that you randomly draw a consonant, do not replace the letter, and then you randomly draw an A.
.0311
.0323
.0308
.0325
A container contains 13 almonds, 8 walnuts, and 19 peanuts. You randomly choose one nut and eat it. Then you randomly choose another nut. Find the probability that you choose a walnut on your first pick and an almond on your second pick.
6.7%
15.8%
6.5%
9.7%
The letters M, A, R, B, L, and E are each written on a card and placed into a hat. You randomly choose a card, return it, and then choose another card. Find the probability that you choose a vowel on your first pick and a consonant on your second pick.
2/9
4/15
1/9
6/15
A bag contains 3 red chips, 4 blue chips, 5 yellow chips, and 3 green chips. You randomly choose a chip, and without replacing it, you randomly choose another chip. Find the probability that you choose a yellow chip on your first pick and a blue chip on your second pick.
4/21
4/45
2/45
2/21
