Question

Out of 16 spins, a purple-and-red spinner landed on purple 9 times and on red 7 times. Based on experimental probability, how many of the next 64 spins would you expect on land on red? A: 28 B: 29 C: 30 D: 36

Answer 1

Answer:

Option A.

Step-by-step explanation:

It is given that out of 16 spins, a purple-and-red spinner landed on purple 9 times and on red 7 times..

Experimental probabilities are

$P(Purple)=\dfrac{Purple}{Total}=\dfrac{9}{16}$

$P(Red)=\dfrac{Red}{Total}=\dfrac{7}{16}$

Based on experimental probability, we need to find how many of the next 64 spins would we expect on land on red.

The expected number of red in 64 spins is

$\text{Expected red}=64\times P(Red)$

$\text{Expected red}=64\times \dfrac{7}{16}$

$\text{Expected red}=28$

Therefore, the correct option is A.