you spin the spinner twice. what is the probability of landing on a 6 and then landing on a 5? write your…

Explanation:

Step1: Calculate probability of landing on 6

The spinner has 4 equal - sized sections. The probability of landing on 6 in the first spin is $\frac{1}{4}$ since there is 1 section labeled 6 out of 4 total sections.

Step2: Calculate probability of landing on 5

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

Step3: Use 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 $P(6\text{ then }5)=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$