Probability: conditional and independent events

Question 1 of 10

A fair die is thrown. P(a number greater than 6) = ___ (as a fraction in lowest terms)

Question 2 of 10

State Bayes' theorem and use it to find the probability that an item came from machine A given that it is defective, if A makes 60 per cent of the items with 2 per cent defective and B makes 40 per cent with 5 per cent defective.

Question 3 of 10

For mutually exclusive events P(A ∪ B) =

Question 4 of 10

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

Question 5 of 10

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

Question 6 of 10

P(A) = 0.6, P(B) = 0.5 and P(A ∩ B) = 0.3. Find P(A | B).

Question 7 of 10

The conditional probability P(A | B) =

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

The probability of an event lies between 0 and 1.

Question 10 of 10

A fair die is thrown. P(a number greater than 5) = ___ (as a fraction in lowest terms)