If coins are tossed, then find the probability of getting at least 3 tails on the face.

8/9

4

1/4

1/2

2/5

Option D Required = (5C3) + (5C4) + (5C5) = 10 + 5 + 1 = 16 total = 2^5 = 32 probability = 16/32 = 1/2

A bag contains 4 red balls, 2 black balls and 5 yellow balls. 3 balls are drawn randomly, find the probability of getting all balls are of red balls.

2/65

1/5

4/165

5/8

2/165

Option C Required = 4C3 = 4 total = 11C3 = 165 probability = 4/165

A box contains 4 white balls and 8 blue balls. 2 balls are drawn randomly from the box in succession without replacement. What is the probability that they are different colors ?

6/17

5/12

18/25

16/33

1/8

Option D Probability = 4/12 * 8/11 * 4/11 * 8/12 = 2 * 4/12 * 8/11 = 16/33

If 2 cards are selected randomly from a pack of 52 card, then what is the probability that all are face cards ?

11/221

8/25

4/225

8/29

2/441

Option A Probability = (12C2) / (52C2) = 12 * 11 / 52 * 51 = 11/221

Five men and 4 women sit in a row for eating food. What is the probability that they will sit in alternate position ?

1/26

2/85

3/82

1/126

2/ 85

Option D Probability = 5! * 4! / 9! = 1/126

What is the probability that number selected from number 1, 2 , 3 … 100 is a prime number ?

2/5

1/4

5/8

1/2

4/7

Option B Probability = 25/100 = 1/4

In how many different ways can the letters of the word “SHARE” be arranged ?

260

150

160

120

140

Option D Number of ways = 5! = 120

One bag contains 4 blue balls and 3 green balls. Another bag contains 5 red balls and 7 blue balls. If one ball is drawn randomly from each bag then, what is the probability that both are blue balls ?

2

60

1/8

1/3

4/17

Option D Probability = (4C1) / (7C1) * (7C1) / (12C1) = 1/3

A box contains 4 green balls , 2 white balls and 4 blue balls. If three balls are drawn together from the box, then what is the probability of selecting that these three balls are the same colors ?

8/17

17/18

2/25

1/15

1/30

Option D Probability = (4C3) / (10C3) + (4C3) / (10C3) = 1/30 + 1/30 = 1/15

How many words can be formed with the help of the letters of the word “SCHOOL” in such a way that all the words start with ‘L’ ?