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Compound Events Probability 5.2 NUHS

Total questions: 26

Worksheet time: 1hrs 23mins

Name
Class
Date
1.

You draw a marble from a bag that has 4 red, 2 blue, and 3 green, you also flip a fair coin. What is the probability you will draw a blue marble and flip a heads?

a)

1/9

b)

3/9

c)

3/6

d)

5/6

2.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
3.
P(a red card and then an orange card)
DO NOT replace
a)
3/58
b)
14/30
c)
2/5
d)
7/60
4.
If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8, how many different ice-cream sundaes can you make?
a)
58
b)
96
c)
20
d)
192
5.
The daily special at the House of Pies offers one of three featured pies and your choice of coffee, tea, milk or juice. How many ways can you order the special?
a)
12
b)
8
c)
15
d)
6
6.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a blue, eating it then selecting yellow?
a)
2/18
b)
1/9
c)
2/20
d)
1/19
7.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
8.
The tree diagram shows the outcomes of rolling a die and flipping a coin.  
How many total outcomes are there?  
a)
6
b)
12
c)
24
d)
36
9.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

10.
The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?
a)
TW, CW, PW
b)
TW, TM, TC, CW, PW
c)
TW, TM, CW, CM, PW, PM
d)
TCP, MW
11.
A coin is tossed and then the spinner is spun. Determine the probability that you toss Heads and spin a Red.
a)
1/6
b)
1/10
c)
0
d)
1/12
12.
A bag contains 2 blue marbles, 3 black marbles, and 5 red marbles. Mrs. Grow picks one marble, replaces it, then picks another. What is the probability of them both being blue?
P(blue and blue) 
a)
1/25
b)
1/5
c)
1/20
d)
2/5
13.

Your drawer contains 6 red socks and 10 blue socks. It's too dark to see which are which, but you grab two anyway. What is the probability that both socks are red?

a)

5/15

b)

36/256

c)

1/3

d)

1/8

14.
a)
2/12
b)
1/2
c)
1/12
d)
1/24
15.
a)
1/4
b)
1/8
c)
1/2
d)
1/6
16.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
17.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
18.
You roll a six sided die. What is the probability of rolling an even number three times in a row? 
a)
3/100
b)
1/2
c)
1/6
d)
1/8
19.
You've decided you want a plant for your room. At the gardening store, there are 444 different kinds of plants (tulip, fern, cactus, and ficus) and 444 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?
a)
Steve
b)
16/1
c)
1/8
d)
1/16
20.

If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?

a)

10/16

b)

5/8

c)

Serenity

d)

8/5

21.
You flip a coin and roll a die. What is the probability, in a fraction, you flip a heads and roll a 3?
a)
1/6
b)
Bad Potato
c)
 1/12
d)
12/1
22.

Draw a red marble, keep it, then draw a blue marble.

a)

Independent

b)

Dependent

23.

A class has 10 girls and 15 boys. If two students are chosen at random, what is the probability that they are both girls?

a)

1025×1025\frac{10}{25}\times\frac{10}{25}

b)

1025×925\frac{10}{25}\times\frac{9}{25}

c)

1025×924\frac{10}{25}\times\frac{9}{24}

d)

925×1024\frac{9}{25}\times\frac{10}{24}

24.

P(2 or 3)

a)

136\frac{1}{36}

b)

16\frac{1}{6}

c)

23\frac{2}{3}

d)

13\frac{1}{3}

25.

P(blue)

a)

13\frac{1}{3}

b)

16\frac{1}{6}

c)

12\frac{1}{2}

d)

22

26.

What is the probability of landing on a number higher than 4 twice in a row?

a)

16\frac{1}{6}

b)

18\frac{1}{8}

c)

12\frac{1}{2}

d)

14\frac{1}{4}