Question

3. Jessica is playing a board game with her mother. The spinner used for

the board game is broken up into 5 different colored pie shaped
pieces. In order to the win the game, Jessica must try and get the
spinner to land on the color purple two times in a row. If she spins the
spinner twice, what is the probability that she will land on purple both
times?
OA.
1/100
OB
1/5
Oc.
1/25
1/10
O D.
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Answer 1

C. 1/25

Explanation:

I assume this is a fair spinner and the probability of landing in all colors is equal.

First spin:

p(purple) = 1/5

Second spin:

p(purple) = 1/5

The two spins are independent events, so the probability of landing on purple twice is the product of the two individual probabilities.

p(purple and purple) = 1/5 * 1/5 = 1/25