If the probability that a target is destroyed on any one shot is 0.5 , what is the probability that it would be destroyed on 6th attempt?
Answers
Answer:
0.5^6
Step-by-step explanation:
Probability target won't destroyed = 1-0.5 = 0.5
Probability for first five attempts = 0.5^5
Probability for 6th attempt = 0.5^6
Given : the probability that a target is destroyed on any one shot is 0.5.
To Find : the probability that it would be destroyed on 6th attempt
Solution:
probability that a target is destroyed on any one shot is 0.5
probability that target not destroyed = 1 - 0.5 = 0.5
destroyed on 6th attempt means not destroyed in 1st 5 attempts
and destroyed on 6th attempt
probability that it would be destroyed on 6th attempt = (0.5)⁵(0.5)
= (0.5)⁶
= (1/2)⁶
= 1/64
= 0.015625
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