Select the correct answerRAMU can hit a target 3 times in 6 shots, SIVA can hit the target 2 times in 6 shots and SHYAM can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the targetOptions1/32/35/25/6
Question
Select the correct answerRAMU can hit a target 3 times in 6 shots, SIVA can hit the target 2 times in 6 shots and SHYAM can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the targetOptions1/32/35/25/6
Solution
The problem can be solved by calculating the probability of each person hitting the target and then using the formula for the probability of at least one event occurring.
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Calculate the probability of each person hitting the target:
- RAMU: 3 hits in 6 shots = 0.5 probability of hitting the target
- SIVA: 2 hits in 6 shots = 0.33 probability of hitting the target
- SHYAM: 4 hits in 4 shots = 1 probability of hitting the target
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Calculate the probability of at least 2 shots hitting the target. This is equivalent to 1 minus the probability of less than 2 shots hitting the target.
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The probability of less than 2 shots hitting the target can be calculated as the product of the probabilities of each person missing the target (1 - their probability of hitting the target) and then adding these probabilities together.
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For RAMU, the probability of missing the target is 1 - 0.5 = 0.5
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For SIVA, the probability of missing the target is 1 - 0.33 = 0.67
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For SHYAM, the probability of missing the target is 1 - 1 = 0
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The total probability of less than 2 shots hitting the target is 0.5 + 0.67 + 0 = 1.17
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Subtract this from 1 to get the probability of at least 2 shots hitting the target: 1 - 1.17 = -0.17
However, a probability cannot be negative, so there seems to be a mistake in the problem or in the calculation. The options provided do not match the calculated probability.
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