A simple 5_sided spinner is numbered 1,2,3,4,5.On spinning the spinner once,what is the probability of getting a prime and an even number?

Pr(prime)=ways to be successful/5=4/5

Pr(even)=2/5

Yes

Since 2 is the only prime that is even,

P(prime & even) = P(2) = 1/5

Prime 3/5 as 1 is not prime

Even 2/5

To find the probability of getting a prime and an even number on a 5-sided spinner, we first need to determine the number of outcomes that satisfy both conditions and the total number of possible outcomes.

Step 1: Find the number of primes among the possible outcomes.
Among the numbers 1, 2, 3, 4, 5, the primes are 2 and 3.

Step 2: Determine the number of even numbers.
Among the numbers 1, 2, 3, 4, 5, the even numbers are 2 and 4.

Step 3: Identify the outcomes that satisfy both conditions.
The numbers that are both prime and even are only 2.

Step 4: Calculate the probability.
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes.
In this case, the number of favorable outcomes is 1 (only 2 satisfies both conditions), and the total number of possible outcomes is 5 (as there are 5 sides on the spinner).

Therefore, the probability of getting a prime and an even number on a 5-sided spinner is 1/5.