Question

you spin the spinner twice.
what is the probability of landing on an even number and then landing on an odd number?
write your answer as a percentage.
%

Explanation:

Step1: Calculate the probability of landing on an even number

There are 4 numbers on the spinner: 4, 5, 6, 7. The even numbers are 4 and 6. So the probability of landing on an even number \(P(E)=\frac{2}{4}=\frac{1}{2}\)

Step2: Calculate the probability of landing on an odd number

The odd numbers are 5 and 7. So the probability of landing on an odd number \(P(O)=\frac{2}{4}=\frac{1}{2}\)

Step3: Calculate the combined probability

Since the two spins are independent events, the probability of first landing on an even number and then on an odd number is \(P = P(E)\times P(O)\)

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Step4: Convert to percentage

To convert \(\frac{1}{4}\) to a percentage, we use the formula \(Percentage=\frac{1}{4}\times100\%\)

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Answer:

25%