A die is thrown 10 times. If getting a prime number is considered a success, find the probability of getting not more than 8 successes.
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The probability of getting not more than 8 successes is 0.896.
Step-by-step explanation:
Given:
Number of times die is thrown,
The numbers on a die are 1, 2, 3, 4, 5 and 6.
The numbers that are prime are 1, 2, 3, and 5.
Therefore, probability of getting a prime number is given as:
Probability of getting a success is,
So, probability of getting a failure is,
As per Bernoulli's theorem of getting 'x' successes out of 'n' trials is given as:
Probability of getting not more than 8 successes can be determined using Bernoulli's theorem as:
Number of trials is,
Number of successes is,
Therefore,
Therefore, the probability of getting not more than 8 successes is 0.896.
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