A number is chosen at random from 1 to 25. Find the probability of selecting a composite number. (Answer should be in decimal
Question
A number is chosen at random from 1 to 25. Find the probability of selecting a composite number. (Answer should be in decimal
Solution
Sure, let's solve this step by step:
Step 1: Identify the total number of outcomes. In this case, a number is chosen from 1 to 25, so there are 25 possible outcomes.
Step 2: Identify the total number of favorable outcomes. A composite number is a positive integer that has at least one positive divisor other than one or itself. In other words, a composite number is any positive integer greater than one that is not a prime number. So, the composite numbers between 1 and 25 are: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25. That's 15 numbers.
Step 3: The probability of an event is given by the ratio of the number of favorable outcomes to the total number of outcomes. So, the probability of selecting a composite number is 15/25 = 0.6.
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