Question

A bead is selected at random from a bowl. The probability of selecting a bead with two holes is 0.5. The probability of selecting a bead that is both red and has two holes is 0.2. What is the probability of selecting a red bead given the bead has two holes? Enter your answer as a decimal in the box.

Answer 1

Answer: 0.2.

Explanation:

Answer 2

0.4

Explanation:

Let A be the event of selecting a bead with two holes and B be the event of selecting a red bead. We are given P(A) = 0.5 and P(A and B) = 0.2. We need to find P(B|A), the probability of selecting a red bead given the bead has two holes.

By definition of conditional probability, we have:

P(B|A) = P(A and B) / P(A)

Substituting the given values, we get:

P(B|A) = 0.2 / 0.5

Simplifying, we get:

P(B|A) = 0.4

Therefore, the probability of selecting a red bead given the bead has two holes is 0.4.