Question

Jaylen has a fair number pyramid with four equal-sized faces numbered 1-4 and a spinner with three equal-sized color sections red, blue, and green. A. How many possible outcomes are there from rolling the pyramid and spinning the spinner? B. What is the probability that the number pyramid will land on three and the spinner will stop on blue?

Answer 1

Given : The number of faces in a fair number pyramid (1,2,3,4) =4

Let A be the event that number pyramid will land on three

P(A) =1/4

The number of equal sized colored sections in spinners= 3

Let B be the event that the spinner will stop on blue.

Then, P(B)= 1 / 3

Since, both the events A and B are independent.

Thus, the probability that the number pyramid will land on three and the spinner will stop on blue is given by :-

P(A∩B)=P(A)×P(B)

= (1/3) x (1/4)

= 1/12

Hence, the probability that the number pyramid will land on three and the spinner will stop on blue = 1/12

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