Answer:
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.