Duplicate of PSC S1 Probability Venn diagrams revision

Question 1

Find P(A)

Accepted Answer

0.3

Question 2

Are A and B mutually exclusive?

Accepted Answer

No

Question 3

Find P(A) × P(B) and hence decide if A and B are independent

Accepted Answer

independent

Question 4

Find P(A'∩B')

Accepted Answer

0.3

Question 5

Given a student likes asparagus, what is the probability they like carrots?

Accepted Answer

5/10

Question 6

Find P(A) × P(B) and hence decide if A and B are independent

Accepted Answer

not independent

Question 7

Given a student likes exactly two of the vegetables what is the probability they like carrots?

Accepted Answer

7/9

Question 8

Find P(A|B)

Accepted Answer

1/3

Question 9

What is the probability a student likes carrots?

Accepted Answer

16/28

Question 10

Find P(A∪B)

Accepted Answer

0.7

Question 11

What is the probability a student likes at least two of the vegetables?

Accepted Answer

13/28

Question 12

Find P(A∩B')

Accepted Answer

0.1

Questions 12