A man and a woman appear in an interview for two vacancies in the same post. The probability of mans selection of 1/4 and that the womans selection is

Question

A man and a woman appear in an interview for two vacancies in the same post. The probability of mans selection of 1/4 and that the womans selection is

A man and a woman appear in an interview for two vacancies in the same post. The probability of mans selection of 1/4 and that the womans selection is 1/3. What is the probability that none of them will be selected?

Monjur Alahi

7 views

2025-01-04 04:42

1 Answers

Related Questions

Four die are thrown simultaneously. The probability that 4 and 3 appear on two of the die given that 5 and 6 have appeared on other two die is

2 Answers 5 Views

A bag contains b blue balls and r red balls. If two balls are drawn at random, the probability drawing two red balls is five times the probability of

2 Answers 5 Views

2. The old man bowed to all of us in the room. a. Who was the old man? b. Where was the old man at that time? c. Why had he come there?

2 Answers 13 Views

2. The old man bowed to all of us in the room. a. Who was the old man? b. Where was the old man at that time? c. Why had he come there?

2 Answers 9 Views

A man takes a step forward with probability 0.4 and backward with probability 0.6. Find the probability that at the end of 5 steps, he is one step awa

2 Answers 6 Views

If `p` is the probability that a man aged `x` will die in a year, then the probability that out of `n` men `A_1,A_2, A_n` each aged `x ,A_1` will die

2 Answers 6 Views

The probability that a 50-years-old man will be alive at 60 is `0.83` and the probability that a 45-years-old women will be alive at 55 is `0.87.` The

2 Answers 11 Views

Selection of product, Selection of place, Selection of House

2 Answers 5 Views

The probability of event `A` is `3//4`. The probability of event `B`, given that event `A` occurs is `1//4`. The probability of event `A`, given that

2 Answers 5 Views

Under which of the following post a receipt is given by post office:

2 Answers 4 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - `1//2`
Let `E_(1)` be the events that man will be selected and `E_(2)` the events that woman will be selected. Then,
`P(E_(1))=1/4soP(barE_(1))=1-1/4=3/4`
`P(E_(2))=1/3,soP(barE_(2))=1-1/3=2/3`
Clearly `E_(1)and E_(2)` are independent evets. So,
`P(barE_(1)nnbarE_(2))=P(barE_(1))xxP(barE_(2))=3/4xx2/ 3=1/2`