Question

you spin the spinner once.
what is p(3 or prime)?
write your answer as a percentage.
%

Explanation:

Step1: Identify prime numbers and 3

The spinner has numbers 2, 3, 4, 5. Prime numbers here are 2, 3, 5 (since prime numbers are greater than 1 and have no divisors other than 1 and themselves; 4 is not prime as \(4 = 2\times2\)). We need to find the numbers that are 3 or prime. The numbers are 2, 3, 5 (note that 3 is already a prime, so we avoid double - counting).

Step2: Count the favorable outcomes

The total number of sections on the spinner is 4 (since it's divided into 4 equal parts: 2, 3, 4, 5). The favorable outcomes (numbers that are 3 or prime) are 2, 3, 5. So there are 3 favorable outcomes.

Step3: Calculate the probability

The probability \(P\) of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}\). Here, the number of favorable outcomes is 3 and the total number of possible outcomes is 4. So \(P = \frac{3}{4}\).

Step4: Convert to percentage

To convert a fraction to a percentage, we multiply the fraction by 100. So \(\frac{3}{4}\times100 = 75\%\).

Answer:

75%