you spin the spinner twice. what is the probability of landing on a 5 and then landing on a 5? write your…

Explanation:

Step1: Find probability of landing on 5 first - time

The spinner has 4 equal - sized sections. The probability of landing on 5 in one spin is $\frac{1}{4}$ since there is 1 section labeled 5 out of 4 total sections.

Step2: Find probability of landing on 5 second - time

The spins are independent events. So the probability of landing on 5 in the second spin is also $\frac{1}{4}$.

Step3: Use the multiplication rule for independent events

The probability of two independent events $A$ and $B$ both occurring is $P(A)\times P(B)$. Here, $A$ is the event of landing on 5 in the first spin and $B$ is the event of landing on 5 in the second spin. So the probability is $\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$