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Nina [5.8K]
3 years ago
14

A construction firm bids on two different contracts. Let E1 be the event that the bid on the first contract is successful, and d

efine E2 analogously for the second contract. Suppose that P(E1) = 0.3 and P(E2) = 0.7 and that E1 and E2 are independent events.
Mathematics
1 answer:
marissa [1.9K]3 years ago
7 0

Calculate the probability that both bids are successful

Answer:

The probability that both contracs are successful is 0.21

Step-by-step explanation:

Given

E1 = the event that the bid on the first contract is successful

E2 = the event that the bid on the second contract is successful

P(E1) = 0.3

P(E2) = 0.7

Let P(A) represent the event that both contracts are successful

P(A) = P(E1 and E2)

Since both events are independent. P(A) becomes

P(A) = = P(E1 * P(E2)

By substituton

P(A) = 0.3 * 0.7

P(A) = 0.21

Hence the probability that both contracs are successful is 0.21

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