you spin the spinner twice. what is the probability of landing on a 7 and then landing on a 5? write your…

Explanation:

Step1: Determine probability of landing on 7

The spinner has 4 equal - sized sections. The probability of landing on 7 in the first spin, $P(7)$, is $\frac{1}{4}$ since there is 1 section labeled 7 out of 4 total sections.

Step2: Determine probability of landing on 5

The probability of landing on 5 in the second spin, $P(5)$, is also $\frac{1}{4}$ since there is 1 section labeled 5 out of 4 total sections.

Step3: Use the multiplication rule for independent events

Since the two spins are independent events, the probability of both events occurring is the product of their individual probabilities. So $P(7\text{ then }5)=P(7)\times P(5)$. $P(7)\times P(5)=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$

Answer:

$\frac{1}{16}$