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Two students are playing a game. For each turn, a player spins the spinner shown to the right and then flips a coin. The player wins if he or she spins an "A" and the coin lands on tails.What is the probability of a player winning on his or her turn?

Two Students Are Playing A Game For Each Turn A Player Spins The Spinner Shown To The Right And Then Flips A Coin The Player Wins If He Or She Spins An A And Th class=

Answer :

ANSWER:

1/8

STEP-BY-STEP EXPLANATION:

They are two independent events.

The final probability would be the product of each event.

The probability that A is drawn is 1/4, because there are 4 options and only one A.

The probability of tails landing is 1/2, because a coin only has two options, heads or tails.

Therefore, the probability that the player wins would be:

[tex]\begin{gathered} w=\frac{1}{4}\cdot\frac{1}{2} \\ \\ w=\frac{1}{8} \end{gathered}[/tex]

Therefore, the probability of winning is 1/8

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