Question

25 multiple choice 2 points the spinner shown in the diagram below is divided into six equal sections. which outcome is least likely to occur on a single spin? a number divisible by 2 a prime number an odd number a perfect square

Explanation:

Step1: Identify numbers divisible by 2

Numbers divisible by 2 are 2, 4, 6. So there are 3 such numbers out of 6. Probability = $\frac{3}{6}=\frac{1}{2}$.

Step2: Identify prime numbers

Prime numbers are 2, 3, 5. So there are 3 such numbers out of 6. Probability = $\frac{3}{6}=\frac{1}{2}$.

Step3: Identify odd numbers

Odd numbers are 1, 3, 5. So there are 3 such numbers out of 6. Probability = $\frac{3}{6}=\frac{1}{2}$.

Step4: Identify perfect - square numbers

Perfect - square numbers are 1, 4. So there are 2 such numbers out of 6. Probability = $\frac{2}{6}=\frac{1}{3}$.

Step5: Compare probabilities

Since $\frac{1}{3}<\frac{1}{2}$, the event with the least probability is getting a perfect - square number.

Answer:

a perfect square