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Select the correct answerThree children took part in racing competition in their school with their respective probabilities to reach the finishing point being 1/3, 1/5 and 1/4 respectively. What is the probability that at least one of them will finish the race?Options1/53/52/51/4

Question

Select the correct answerThree children took part in racing competition in their school with their respective probabilities to reach the finishing point being 1/3, 1/5 and 1/4 respectively. What is the probability that at least one of them will finish the race?Options1/53/52/51/4

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Solution

To solve this problem, we first need to understand that the probability of at least one event happening is equal to 1 minus the probability of none of them happening.

Step 1: Calculate the probability of each child not finishing the race. For the first child, it's 1 - 1/3 = 2/3. For the second child, it's 1 - 1/5 = 4/5. For the third child, it's 1 - 1/4 = 3/4.

Step 2: Calculate the probability of none of them finishing the race. This is the product of the individual probabilities, so it's 2/3 * 4/5 * 3/4 = 1/2.

Step 3: Calculate the probability of at least one of them finishing the race. This is 1 minus the probability of none of them finishing, so it's 1 - 1/2 = 1/2.

So, the correct answer is 1/2.

This problem has been solved

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