Thank you for visiting Given that the probability a person hits a target in shooting practice is 0 4 if he shoots 10 times find the probability that he. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the probability that the man hits the target in all 10 shots, we multiply the individual probabilities for each shot, as they are independent events. The probability is calculated as (0.4)^10, which results in approximately 0.0001048576, or 0.01048576%.
To find the probability that the man hits the target in all 10 shots, given that the probability of hitting the target in each shot is 0.4, we can multiply the probability of hitting the target for each shot together, since each shot is an independent event. The formula for the probability of independent events all occurring is the product of their individual probabilities.
So, if the probability of hitting the target once is 0.4, the probability of hitting the target 10 times in a row is:
[tex]\(P(10 \text{ hits}) = 0.4 \times 0.4 \times \ldots \times 0.4\) (10 times)[/tex]
[tex]\(P(10 \text{ hits}) = (0.4)^{10}\)\\(P(10 \text{ hits}) = 0.0001048576\)[/tex]
Therefore, the probability that the man hits the target in all 10 shots is 0.0001048576, or 0.01048576%.
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