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Mutually exclusive and Independent Events Probability

Total questions: 13

Worksheet time: 29mins

Name
Class
Date
1.

Probability of rolling a 1 or a multiple of 3 on a fair dice

a)
1/6
b)
1/2
c)
2/3
d)
1/3
2.

Probability of getting three 1s when rolling a die three times

a)
1/6
b)
1/36
c)
1/12
d)
1/216
3.

The probability Niamh walks to school is 7/10. The probability she walks and forgets her PE kit is 7/40. Find the probability Niamh forgets her PE kit.

a)
3/10
b)
5/40
c)

1/4

d)
2/20
4.

From a set of cards, the probability of picking a 4 or a 5 is 7/10 and the probability of picking a 4 is 3/10. Find the probability of picking a 5.

a)
0.8
b)
0.2
c)
0.4
d)
0.6
5.

What's the probability of not rolling a 1 or a 2 on a fair dice?

a)
1/2
b)
2/3
c)
3/4
d)
1/3
6.

The probability that Carson scores during a match is 0.4. The probability that Tyrell scores is 0.3. Find the probability that neither of them score.

a)

0.78

b)

0.42

c)

0.12

d)

0.7

7.

The probability Sean does his homework is 0.8. The probability that Liz does her homework is 0.7. Find the probability they both hand in their homework.

a)
0.56
b)

1.5

c)
0.35
d)

0.44

8.

If you flip a coin 5 times, what is the probability that you get 5 tails in a row?

a)

1/16

b)

1/32

c)

1/10

d)

5/32

9.

Phil flips 3 coins. what's the probability that he gets at least one each of heads and tails?

(Example: HTH, TTH, etc...)

a)
2/3
b)

3/4

c)
1/3
d)
1/2
10.

The probability that Mark scores a penalty is 1/3. Mark takes 2 penalties. Find the probability that he scores at least once.

a)

2/9

b)

5/9

c)

1/9

d)
3/4
11.

Alice has a bag containing 4 green, 4 blue, and 5 yellow counters. She picks one, notes its color, and replaces it. She picks a second counter at random. What is the probability that she picks the same color both times?

a)

1/8

b)

216/1000

c)

2/14

d)

14/28

12.

A bag contains 4 pink counters and 8 blue ones. You pick one counter, put it back, then choose another. What is the probability of picking two different colors?

a)

3/9

b)

4/12

c)

8/12

d)

32/144

13.

Alice has a bag containing 3 green counters, 4 blue counters, and 5 yellow counters. She picks a counter, notes the color and replaces it. What's the probability that she picks two different colors?

(a)