Question

Eric flips a coin and picks out one of three marbles (2 red, 1 blue). What is the probability that the coin is tails and he draws a blue marble?​

Answer 1

the probability that the coin is tails and he draws a blue marble is 1/6.

Explanation:

Let event A be "the coin is tails" and event B be "he draws a blue marble".

The probability of event A is 1/2, since there are two equally likely outcomes when flipping a coin.

The probability of event B given event A has occurred is 1/3, since there is one blue marble out of three marbles when the coin is tails.

Therefore, the probability of both events happening, the coin is tails and he draws a blue marble, is the product of their probabilities:

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

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

P(A and B) = 1/6

Therefore, the probability that the coin is tails and he draws a blue marble is 1/6.