Probability

1) A bag contains 5 red balls and some blue balls. If probability of drawing a blue ball is double that of a red ball, then number of blue balls in the bag is

(a) 3

(b) 5

(c) 6

(d) 10

(e) None of these

(d) 10

2) In how many different ways can five student be seated in three chairs?

(a) 15

(b) 18

(c) 30

(d) 60

(e) None of these

(d) 60

3) What is the probability that a number selected form the numbers 1, 2, 3, 4,…., 16 is a prime number?

(a) 3/16

(b) 1/4

(c) 3/8

(d) 2/5

(e) None of these

(c) 3/8

4) A card is drawn from a pack of 52 cards. A card is drawn at random. The probability that it is neither a heart nor a king is

(a) 4/13

(b) 9/13

(c) 10/13

(d) 11/13

(e) None of these

(b) 9/13

Directions 5-8)  A jar has 6 pencils, each of different color, viz, red, blue, yellow, green black and white.

5) If 5 pencils were removed from the jar, what is the probability that the black one was removed?

(a) 1/30

(b) 1/6

(c) 1/5

(d) 5/(6 )

(e) None of these

(d) 5/(6 )

6) If two dice are thrown simultaneously, what is the probability that you get a sum of 10 and 11?

(a) 3/35

(b) 5/36

(c) 1/36

(d) 7/36

(e) None of these

(b) 5/36

7) Out of all integers from 1 to 100, a number is selected at random. Probability that the selected number is not divisible by 7 is

(a)43/50

(b) 7/53

(c) 1/100

(d) none of these

(a)43/50

8) Two coins are tossed together once. The probability of getting at least one head is

(a) 3/4

(b) 1/2

(c) 2/(3 )

(d) none of these

(a) 3/4

Directions 9-10) A coin is tossed three times in succession.

9) The probability of obtaining 2 heads is.

(a) 1/8

(b) 2/8

(c) 3/8

(d) 7/8

(e) None of these

(c) 3/8

10) In the above questions, what is the probability of getting tail atleast once?

(a) 1/8

(b) 2/8

(c) 3/8

(d) 7/8

(e) None of these