A die of six facets/values (1, 2, 3, 4, 5, 6) is rolling two times. Find the pro

Question

A die of six facets/values (1, 2, 3, 4, 5, 6) is rolling two times. Find the probability of getting the score of two: Find the probability of getting the score more than two: Find the probability of getting the score of not less than three Two marksmen are firing the shots into the same target at the same time. The probability of hitting the target by the is 0.6. The probability of hitting the target by the second marksman is 0.7. Find the probability of hitting the target at least once. A marksman fires three shots into the target. The probability of hitting the target at any single shot is 0.6. Find the probability of total missing the target Find the probability of hitting the target one time Find the probability of hitting the target two times Find the probability of hitting the target three times

Explanation / Answer

Solution:-

5)

p = 0.6

a) The probability of total missing the target is 0.064.

Probability of missing one target = 1 - 0.6 = 0.40

The probability of total missing the target = 0.40 × 0.40 × 0.40 = 0.064

b) The probability of hitting the target one time is 0.288.

P(one hit) = P(HMM) + P(MHM) + P(MMH)

P(one hit) = 3 × (0.60 × 0.40 × 0.40)

P(one hit) = 3 × 0.096

The probability of hitting the target one time = 0.288

c) The probability of hitting the target two times is 0.432.

P(Two hit) = P(HHM) + P(HMH) + P(MHH)

P(Two hit) = 3 × (0.60 × 0.60 × 0.40)

P(Two hit) = 3 × 0.144

The probability of hitting the target two times is 0.432.

d) The probability of hitting the target three times is 0.216.

P(Three hit) = P(HHH)

P(Three hit) = 0.60 × 0.60 × 0.60

P(Three hit) = 0.216

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