e correct answerIf a number is selected at random from the first 50 natural numbers, what will be the probability that the selected number is a multiple of 3 and 4?
Question
e correct answerIf a number is selected at random from the first 50 natural numbers, what will be the probability that the selected number is a multiple of 3 and 4?
Solution
To find the probability, we first need to find the total number of outcomes and the number of favorable outcomes.
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Total outcomes: The first 50 natural numbers are from 1 to 50. So, there are 50 total outcomes.
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Favorable outcomes: We need to find the numbers that are multiples of both 3 and 4. The least common multiple of 3 and 4 is 12. So, we need to find the multiples of 12 within 50. They are 12, 24, 36, and 48. So, there are 4 favorable outcomes.
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 that the selected number is a multiple of 3 and 4 is 4/50 = 0.08.
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