QUESTION ON PROBABILITY

QUES 1:

There are 8 Male and 7 Female Persons in a Committee we have to select 4 persons for a group.

A)     What is the probability that 3 Male and 1 Female person is there ?

(i)                  25/39     (ii)           56/195  (iii)          11/39     (iv)         156/195                (v)          None of these

B)      What is the probability that atleast 1 Female person is there ?

(i)                  37/39     (ii)           85/195  (iii)          11/195  (iv)         65/195                  (v)          None of these

C)      What is the probability that atmost 2  Male persons is there ?

(i)                  5/63       (ii)           56/165  (iii)          11/65     (iv)         43/65                     (v)          None of these

D)     What is the probability that no Female person is there ?

(i)                  5/39       (ii)           6/195     (iii)          2/39       (iv)         56/195                  (v)          None of these

QUES 2:

In a college 6 Arts, 8 Commerce and 5 Science teachers are there.

A)     If 5 teachers are seleted at random, then what is the probability that 2 Arts, 2 Commerce and 1 science teacher is there?

(i)            175/969                (ii)           65/969  (iii)          64/323  (iv)         6/19       (v)          None of these

B)      If 4 teachers are seleted at random, then what is the probability that no Commerce  teacher is there?

(i)            5/323     (ii)           5/646     (iii)          1/11       (iv)         55/646  (v)          None of these

C)      If 3 teachers are seleted at random, then what is the probability that atleast 1 Arts  teacher is there?

(i)            5/9         (ii)           56/969  (iii)          37/39     (iv)         683/969                (v)          None of these

D)     If 3 teachers are seleted at random, then what is the probability that exactly 1 science teacher and 2 other than science teachers are there?

(i)                  55/969  (ii)           455/969                (iii)          1/69       (iv)         56/69     (v)          None of these

QUES 3:

A bag contains 5 Red, 3 Green, 2 Blue and 4 Yellow balls.

A)     If 2 balls are drawn randomly, what is the probability that both are Yellow ?

(i)            1/28       (ii)           6/91       (iii)          3/14       (iv)         1/9         (v)          None of these

B)      If 3 balls are drawn randomly, what is the probability that 2 are Green and 1 is Yellow ?

(i)            3/14       (ii)           2/91       (iii)          9/182     (iv)         3/91       (v)          None of these

C)      If 3 balls are drawn randomly, what is the probability that atleast 1 is Red ?

(i)                  10/13     (ii)           1/13       (iii)          3/13       (iv)         2/13       (v)          None of these

ANSWERS :

QUES 1 :                              

A)     (ii)

B)      (i)

C)      (iv)

D)     (iii)

QUES 2 :

A)     (i)

B)      (iv)

C)      (iv)

D)     (ii)

QUES 3 :

A)     (ii)

B)      (iv)

C)      (i)