Question

If a boy is throwing stones at' a target, what is the probability that'his10th throw' is his 5th hii, if the probability of hitting the target at any trial is 0'5

Answer 1

Answer: 1/2

Step-by-step explanation: It's given in the question, that the probability of hitting the target is 1/2 (0.5)

Therefore, at any throw and at any time, the probability of hitting the target will always be 1/2.

Thanks...

Answer 2

The required probability of hitting the target is 63/256

GIVEN: A boy is throwing stones at a target, what is the probability that his 10th throw is his 5th if the probability of hitting the target at any trial is 0.5
TO FIND The probability of hitting the target.
SOLUTION:

As we are given in the question,

Either boy hits the target or fails to hit, hence if we consider ransom variable X= hitting the target as success.

Given, the probability of success = 0.5

It follows Binomial Distribution, whose probability distribution of random variable to have r successes out of n trials is given by

P(X = r) = nCr p^r q^(n-r).

Now, for the 10th throw to be the boy's 5th hit, he should hit exactly 4 times in the first 9 trials.

Thus, the probability of having 4 successes in 9 trials,

P(X=4) = 9C4 (1/2)^4(1/2)^5

P(X=4) = 63/256.

Therefore,

The required probability of hitting the target is 63/256

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