Question

4. One of three contestants will be randomly selected to win a prize. One of three different prizes will be randomly awarded to the contestant whose name is selected to win. The tree diagram shows all possible outcomes of this contest. Prize 1 1 Pedro Prize 2 Prize 3 Prize 1 Whitney Prize 2 Prize 3 Prize 1 Bryan Prize 2 Prize 3 What is the probability that Whitney will win Prize 2?​

Answer 1

The probability that Whitney will win Prize 2 will be $\frac{1}{9}$. Probability is the ratio of the favorable event to the total number of events.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.

Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

The total no of the contestants=3

Randomly selection of the prize-=1

The probability that Whitney will win Prize 2 will be;

$\rm P= P(A)P(B) \\\\ P=\frac{1}{3} \times \frac{1}{3}\\\\ P= \frac{1}{9}$

Hence, the probability that Whitney will win Prize 2 will be $\frac{1}{9}$

To learn more about the probability, refer to the link;

https://brainly.com/question/795909

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