Question

2) There are two vacancies for the post of HR manager in a company. Mrs. Tiwari and M.
takesh appears in an interview for these vacancies. The probability of Mrs. Tiwari
election is 0.14 and that of Mr. Rakesh's selection is 0.2. What is the probability that (3
0 Both will be selected
(ii)
Only one of the two will be selected
(31
3). If P (A) = 1/2 ,P(B) = 1/3 and P(AN B) = 1/5 then find
(i) P(AUB) ii) P(AC N B) (iii) P(ANB)
(iv) P(ANB) (v) P (AC UB) (vi) P((AUB)')​

Answer 1

1) P(T) = 0.14

P(R) = 0.20

P(T+R) = 0.34

2)

P(Only one of the two will be selected) = 1/2

3)

(i) P(AUB) = 1/2 + 1/3 - 1/5 = 19/30

ii) P(AC N B) = 1/3 + 1/5 = 8/15

(iii) P(ANB) = 1/5

(iv) P(ANB) = 1/5

(v) P (AC UB)' = 1-(1/2 + 1/5) = 3/10

(vi) P((AUB)') = 4/5.