Question

You spin the spinner once. Numbers on the spinner: 4, 5, 6, 7. What is P(prime)? (P is the probability of spinning a prime number)

A. P(prime) = 0.5
B. P(prime) = 0.75
C. P(prime) = 0.25
D. P(prime) = 0.125

Answer 1

The probability of spinning a prime number on a spinner with the numbers 4, 5, 6, and 7 is 0.5 because two out of the four numbers (5 and 7) are prime numbers.

Step-by-step explanation:

The question is asking us to calculate the probability of spinning a prime number on a spinner with the numbers 4, 5, 6, and 7. We need to determine which of these numbers are prime. Prime numbers are numbers that are only divisible by 1 and themselves.

Upon reviewing the numbers on the spinner:

• 4 is not a prime number because it is divisible by 2.
• 5 is a prime number.
• 6 is not a prime number because it is divisible by 2 and 3.
• 7 is a prime number.

Out of the four possible outcomes, there are two prime numbers (5 and 7). To calculate the probability of spinning a prime number, we use the following formula:

P(prime) = Number of favorable outcomes / Total number of outcomes

There are 2 favorable outcomes (5 and 7) out of a total of 4 outcomes.

P(prime) = 2/4 = 0.5

Therefore, the correct answer is A. P(prime) = 0.5.