you spin the spinner twice. what is the probability of landing on a 5 and then landing on a number less than…

you spin the spinner twice. what is the probability of landing on a 5 and then landing on a number less than 4? write your answer as a fraction or whole number.

you spin the spinner twice. what is the probability of landing on a 5 and then landing on a number less than 4? write your answer as a fraction or whole number.

Answer

Answer:

$\frac{1}{9}$

Explanation:

Step1: Find probability of landing on 5

The spinner has 3 sections. The probability of landing on 5 in the first - spin is $\frac{1}{3}$ since there is 1 section labeled 5 out of 3 total sections.

Step2: Find probability of landing on a number less than 4

Numbers less than 4 on the spinner are 3. The probability of landing on a number less than 4 in the second - spin is $\frac{1}{3}$ (as there is 1 section labeled 3 out of 3 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 $P = \frac{1}{3}\times\frac{1}{3}=\frac{1}{9}$.