Question

what is the probability that both events will occur? two dice are tossed. event a: the first die is a 1 or 6. event b: the second die is odd. P(A and B)=

Answer 1

0.165

Explanation:

P(A∩B) = P(A) × P(B)

= .33 × 0.5

= 0.165

Answer 2

0.17

Explanation:

You want the probability of a 1 or 6 on the first die, and an odd number on the second die when two dice are tossed.

Probability

The joint probability is the product of the probabilities of these independent events. The probability of a 1 or 6 is 2/6 = 1/3. There are 3 odd numbers, so the probability of an odd number is 3/6 = 1/2.

The probability both events will occur is ...

P(A and B) = (1/3)(1/2) = 1/6

P(A and B) ≈ 0.17

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