Question

The probability that a dancer likes ballet is .35. The probability that the dancer likes tap is .45. The probability that the dancer likes both ballet and tap is .30. What is the probability that the dancer likes ballet if we know she likes tap? Question 4 options: .30 .35 .67 .75

Answer 1

Use the formula for conditional probability.

P(likes ballet | likes tap) = P(likes ballet & tap)/P(likes tap)

... = 0.30/0.45 ≈ 0.67