you spin the spinner twice. what is the probability of landing on a 6 and then landing on an odd number…

Explanation:

Step1: Calculate probability of landing on 6

The spinner has 4 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 an odd number

The odd - numbered sections are 5 and 7. So there are 2 odd - numbered sections out of 4 total sections. The probability of landing on an odd number in the second spin is $\frac{2}{4}=\frac{1}{2}$.

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 $P = \frac{1}{4}\times\frac{1}{2}$. $P=\frac{1\times1}{4\times2}=\frac{1}{8}$

Answer:

$\frac{1}{8}$