Question

a company is considering purchasing the mineral rights to two different mountains. the probability that it will purchase the mineral rights to the first mountain is 0.55. the probability that it will purchase the mineral rights to the second mountain is 0.4. assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains? responses 0.18 0.18 0.22 0.22 0.33 0.33 0.51 0.51 0.95

Answer 1

The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

What is probability ?

Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.

Calculation

Given information:

A company is considering purchasing materials:

The probability of purchasing mineral rights

Form the first mountain P1 = 0.55

From the second mountain P2 = 0.4

As the decision is made independently

So, P(P2∩ notP1) = 0.55 * 0.6

P(P2∩ notP1) = 0.33

Similarly, the value of

P(P2∩ notP1) =0.4 * 0.45

P(P2∩ notP1) = 0.15

Hence ,

P = 0.33 + 0.18

P = 0.51

Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

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