Question

the following spinner is spun twice. what is the probability that both spins result in a \5\? 1 5 4 3 2 a $\frac{1}{25}$ b $\frac{2}{5}$ c $\frac{1}{5}$ d $\frac{2}{25}$

Explanation:

Step1: Calculate single - spin probability

The spinner has 5 equal sections. The probability of getting a 5 on a single spin is $\frac{1}{5}$ since there is 1 section labeled 5 out of 5 total sections.

Step2: Use multiplication rule for independent events

Since the two spins are independent events, the probability of getting a 5 on the first spin and a 5 on the second spin is the product of the probabilities of getting a 5 on each individual spin. So $P(\text{both 5s})=\frac{1}{5}\times\frac{1}{5}=\frac{1}{25}$.

Answer:

A. $\frac{1}{25}$