A number is chosen at random from 1 to 50. Find the probability of not selecting odd or prime numbers.

Sure, let's break this down:

Step 1: Identify the total number of outcomes The total number of outcomes is 50 because the number is chosen from 1 to 50.

Step 2: Identify the total number of odd numbers from 1 to 50 There are 25 odd numbers from 1 to 50 (1, 3, 5, ..., 49).

Step 3: Identify the total number of prime numbers from 1 to 50 The prime numbers from 1 to 50 are (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47). So, there are 15 prime numbers.

Step 4: Identify the overlap between odd and prime numbers The odd prime numbers from 1 to 50 are (3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47). So, there are 13 odd prime numbers.

Step 5: Calculate the total number of odd or prime numbers The total number of odd or prime numbers is the number of odd numbers plus the number of prime numbers minus the overlap. So, 25 (odd numbers) + 15 (prime numbers) - 13 (overlap) = 27.

Step 6: Calculate the total number of not odd or prime numbers The total number of not odd or prime numbers is the total number of outcomes minus the total number of odd or prime numbers. So, 50 (total outcomes) - 27 (odd or prime numbers) = 23.

Step 7: Calculate the probability of not selecting odd or prime numbers The probability of not selecting odd or prime numbers is the total number of not odd or prime numbers divided by the total number of outcomes. So, 23/50 = 0.46.

So, the probability of not selecting odd or prime numbers from 1 to 50 is 0.46.