Two experiments are conducted independently, with success rates 0.85 and 0.70, respectively. What is the probability that both experiments succeed?

Question

Amina Chen

Mathematics

22 April, 18:17

Two experiments are conducted independently, with success rates 0.85 and 0.70, respectively. What is the probability that both experiments succeed?

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Answers (1)

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Nola Merritt · Answer 1

Answer: 0.595

Step-by-step explanation:

Independently expriment:

P (A n B) = p (A) * p (B)

Therefore

P (E1 n E2) = P (E1) * P (E2)

P (E1 n E2) = 0.85 * 0.70 = 0.595

So the probabilty that both experiment succeed is : 0.595