Question

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?

Answer 1

1/8

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:

`\begin{gathered} w=(1)/(4)\cdot(1)/(2) \\ \\ w=(1)/(8) \end{gathered}`

Therefore, the probability of winning is 1/8