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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

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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.

  1. 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
  2. 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.

    • 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.

    • For RAMU, the probability of missing the target is 1 - 0.5 = 0.5

    • For SIVA, the probability of missing the target is 1 - 0.33 = 0.67

    • For SHYAM, the probability of missing the target is 1 - 1 = 0

    • The total probability of less than 2 shots hitting the target is 0.5 + 0.67 + 0 = 1.17

  3. 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.

This problem has been solved

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