you spin the spinner twice. what is the probability of landing on a 3 and then landing on a 4? write your…

Explanation:

Step1: Determine probability of landing on 3

The spinner has 3 sections. The probability of landing on 3 in the first - spin is $\frac{1}{3}$ since there is 1 section labeled 3 out of 3 total sections.

Step2: Determine probability of landing on 4

The probability of landing on 4 in the second - spin is also $\frac{1}{3}$ as there is 1 section labeled 4 out of 3 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 $P(3\text{ then }4)=\frac{1}{3}\times\frac{1}{3}=\frac{1}{9}$.

Answer:

$\frac{1}{9}$