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1)A bag contains 6 red, 4 white, 2 black and 5 purple. 4 marbles are taken at random, what is the probability that 1 is black and 1 is purple?

(a).13/23

(b).15/23

(c).15/34

(d).25/38

(e).none of these

2)A box contains 5 Red balls, 3 Black balls, 6 pink balls and 8 yellow balls, if four balls are taken out. What is the probability of choosing that all balls are not in different color?

(a)720/7315

(b)1319/1463

(c)1639/7315

(d)720/1463 238

(e)None of these

3)A box which contains 4 blue balls, 5 black balls,7 green balls and 4 pink balls. If four balls are taken out. What is the probability of choosing both the balls are either Pink or Black or two balls are taken out randomly?

(a)190/4845

(b)169/4845

(c)260/4845

(d)206/4845

(e)None of these

Direction (4-6)Study the information carefully and answer the question asked below.

A Gems packet contains 5 Red, 4 Blue and 6 Yellow gem stones.

4)If two are picked randomly, then what is the probability that either two balls are Red or Yellow?

(a)6/21

(b).10/21

(c).12/21

(d).5/21

(e).none of these

5)If 3 chocolates ate by Varun. What is the probability that all the gemstones are in same color?

(a).36/455

(b).34/455

(c).421/455

(d).419/455

(e).none of these

6)If three gem stones are taken out at random, what is the probability that at least one is blue?

(a)33/91

(b)58/91

(c)55/91

(d)36/91

(e)None of these

7)On Tossing 6 Un biased coin together, what is the probability of more tails than Heads?

(a).21/32

(b).16/31

(c)11/32

(d).15/31

(e).none of these

8)A three-digit number is chosen at random. What is the probability that all the digits are distinct, the digits at odd places are odd and the digits at even places are even?

(a)1/99

(b)1/9

(c)3/100

(d)2/99

(e)None of these

9)Three unbiased dice are thrown at random. What is the probability that all three dice show different numbers?

(a)1/9

(b)1/3

(c) 5/9

(d)7/9

(e).none of these

10) If two dice are thrown then what is the probability that the sum of the faces of dice are prime?

(a)5/12

(b)1/2

(c)1/3

(d)7/12

e)None of these

Solution