Question

20.The probability that person 2 points
A completes all the tasks
assigned is 50% and that of
person B is 20%. Find the
probability that all the tasks
are completed
c
0.15
O 0.25​

Answer 1

Answer:

30 PRECENT WILL BE THERE

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Step-by-step explanation:

Answer 2

The probability that all the tasks are completed is 0.35 when person A has a 50% chance of finishing all the duties.

Given that,

Person A has a 50% chance of finishing all the duties assigned to them, while Person B has a 20% chance.

We have to calculate the probability that each tasks will be completed.

We know that,

Let A be the event that all works are completed and $E_i$ is the event that a person is fixed.

Person A = P(E₁) = $\frac{1}{2}$

Person B = P(E₂) = $\frac{1}{2}$

Probability of person A completes all the task assigned is 50%

P(A | E₁) = 50%

Probability of person B completes all the task assigned is 20%

P(A | E₂) = 20%

Then,

P(A) = P(E₁) P(A | E₁) + P(E₂) P(A | E₂)

P(A) = ($\frac{1}{2}$)($\frac{50}{100}$)+($\frac{1}{2}$)($\frac{20}{100}$)

P(A) = $\frac{1}{4}$ + $\frac{1}{10}$

P(A) = 0.35

Therefore, The probability that all the tasks are completed is 0.35.

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