Probability: conditional and independent events

Question 1 of 10

For mutually exclusive events P(A ∪ B) =

Question 2 of 10

P(A) = 0.5, P(B) = 0.3 and P(A ∩ B) = 0.15. Find P(A | B).

Question 3 of 10

A and B are independent with P(A) = 0.6 and P(B) = 0.2. Find P(A ∪ B).

Question 4 of 10

P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.06. Find P(A | B).

Question 5 of 10

The conditional probability P(A | B) =

Question 6 of 10

A box has 5 red and 3 white balls. Two balls are drawn at random without replacement. Draw a tree diagram and find the probability of (a) two red balls, (b) one of each colour.

Question 7 of 10

A fair die is thrown. P(a number greater than 4) = ___ (as a fraction in lowest terms)

Question 8 of 10

A bag contains 6 red and 6 blue balls. Two balls are drawn without replacement. Find P(both red).

Question 9 of 10

If A and B are independent, then P(A | B) = P(A).

Question 10 of 10

A fair die is thrown. P(a number greater than 2) = ___ (as a fraction in lowest terms)