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

Explanation:

Step1: Count odd - even numbers

There are 3 odd numbers (3, 5, 7) and 2 even numbers (4, 6) out of 5 total numbers on the spinner.

Step2: Calculate first - spin probability

The probability of landing on an odd number on the first spin is $P(\text{odd})=\frac{3}{5}$.

Step3: Calculate second - spin probability

Since the spins are independent, the probability of landing on an even number on the second spin is $P(\text{even})=\frac{2}{5}$.

Step4: Calculate combined probability

The probability of both events occurring is $P = P(\text{odd})\times P(\text{even})=\frac{3}{5}\times\frac{2}{5}=\frac{6}{25}$.

Step5: Convert to percentage

To convert $\frac{6}{25}$ to a percentage, we calculate $\frac{6}{25}\times100% = 24%$.

Answer:

24%