Question

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!

Answer 1

Answer:

$\frac{4}{64}$

Step-by-step explanation:

The spinner is independent (the total won't be effected)

we know there is 2 whites with 8 coloured option.

$\frac{2}{8}$

we want the probability of getting two whites.

$\frac{2}{8} \times \frac{2}{8} = \frac{4}{64}$

there is 3 ways to work out probability, fraction, decimal and percentage (i'd personally say fraction is the most easiest)

Answer 2

The probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram.

Each time the spinner lands on white, she will win a prize. If she spins this wheel twice,

Here, the white is appeared twice in the wheel and the total number of  sector in wheel are 8. Thus the probability of first time to come white in the spin is,

$P=\dfrac{2}{8}\\P=\dfrac{1}{4}$

The conditions are same for the second case. For this case, both result of both the spins of wheel are independent of each other.

Thus, by the chain rule, the probability both spin as white sector appear is,

$P=\dfrac{1}{4}\times\dfrac{1}{4}\\P=\dfrac{1}{16}$

Thus, the probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.

Learn more about the probability here;

https://brainly.com/question/24756209