Question

"There is a new game at the school fair called 'Pick a Tile,' in which the player reaches into two bags and chooses one square tile and one circular tile. The bag with squares contains three yellow, one blue, and two red squares. The bag with circles has one yellow and two red circles. In order to win the game (and a large stuffed animal), a player must choose one blue square and one red circle. Since it costs $2 to play the game, Marty and Gerri decide to calculate the probability of winning before deciding whether to play. Gerri suggests they make a systematic list of all the possible color combinations in the sample space, listing squares first then circles:

RY
BY
YY
RR
BR
YR

'So,' says Gerri, 'the answer is.'"
Do you agree with Gerri's answer? Explain."

Answer 1

The probability of winning the game is 1/9, not what Gerri suggested.

Step-by-step explanation:

The answer provided by Gerri is incorrect. Let's calculate the probability of winning the game using the information given.

The bag with squares contains 3 yellow, 1 blue, and 2 red squares. The probability of choosing a blue square from this bag is: P(blue square) = 1/6.

The bag with circles has 1 yellow and 2 red circles. The probability of choosing a red circle from this bag is: P(red circle) = 2/3.

To find the probability of winning the game, we need to multiply the probabilities of choosing a blue square and a red circle together: P(winning) = P(blue square) * P(red circle) = (1/6) * (2/3) = 1/9.

Therefore, the correct answer is 1/9, not what Gerri suggested.