Question

Suppose the probability of a single well hitting oil in one field is 1/15 and in a second field is 1/30. What is the probability that a well in each field will both produce oil? 2/45 1/10 1/450

Answer 1

The answer is 1/450

1/15 * 1/30 = 1/450

Answer 2

Since, the probability of a single well hitting oil in one field is 1/15 and in a second field is 1/30.

We have to find the probability that a well in each field will both produce oil.

Let event A be the case in which a single well is hitting oil in one field and event B be the case in which a single well is hitting oil in second oil. Therefore,they are independent events as the probability of one event occurs in no way affects the probability of the other event occurring.

Given P(A) =
`(1)/(15)` and P(B)=
`(1)/(30)`

Therefore, probability that a well in each field will both produce oil = P(A)
`*` P(B)

=
`(1)/(15) * (1)/(30)`

=
`(1)/(450)`

Therefore, the probability that a well in each field will both produce oil is
`(1)/(450)`.

Option C is the correct answer.