you spin the spinner twice. what is the probability of landing on a 6 and then landing on a 7? write your…

Explanation:

Step1: Find 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: Find probability of landing on 7

The probability of landing on 7 in the second spin is also $\frac{1}{4}$ as there is 1 section labeled 7 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 $P(6\text{ then }7)=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$.

Answer:

$\frac{1}{16}$