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 Multiple Choice QuestionsMultiple Choice Questions

71.

The events A andB have probabilities 0.25 and 0.50, respectively. The probability that both A and B occur simultaneously is 0.14, then the probability that neither A nor B occurs, is

  • 0.39

  • 0.29

  • 0.11

  • 0.25


72.

A bag contains 5 black balls, 4 white balls and 3 red balls. If a ball is selected at random, the probability that it is a black or a red ball, is

  • 13

  • 14

  • 512

  • 23


73.

The probability of getting qualified in IITJEE and EAMCET by a student are respectively 15 and 35. The probability that the student gets qualified for atleast one of these test, is

  • 325

  • 825

  • 1725

  • 2225


74.

One die and a coin (both unbiased) are tossed simultaneously. The probability of getting 5 on the top of the die and tail on the coin is

  • 12

  • 112

  • 16

  • 18


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75.

A bag X contains 2 white and 3 black balls and another bag Y contains 4 white and 2 black balls. One bag is selected at random and a ballis drawn from it. Then, the probability for the ball chosen be white, is :

  • 215

  • 715

  • 815

  • 1415


76.

A random variate X takes the values 0, 1, 2, 3 and its mean is 1.3. If P(X = 3) = 2P(X = 1) and P(X = 2) = 0.3, then P(X = 0) is equal to :

  • 0.1

  • 0.2

  • 0.3

  • 0.4


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77.

An unbiased coin is tossed to get 2 points forturning up a head and one point for the tail.If three unbiased coins are tossed simultaneously, then the probability of getting a total of odd number of points is

  • 12

  • 14

  • 18

  • 38


A.

12

We are getting a odd number of point, If it will comes (two head, one tail and three tail)

 P(H) = P(T) = 12

 Requrred probability = Probability of getting two heads and one tail + Probability of all three tails

 = 3C2 122121 + 123= 3123 +123 = 38 + 18 = 12 


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78.

Suppose E and F are two events of a random experiment. If the probability of occurrence of E is 1/5 and the probability of occurrence of F given E is 1/10, then the probability of non-occurrence of atleast one of the events E and F is

  • 118

  • 12

  • 4950

  • 150


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79.

Six faces of an unbiased die are numbered with 2, 3, 5, 7, 11 and 13. If two such dice are thrown, then the probability that the sum on the upper most faces of the dice is an odd number is

  • 518

  • 536

  • 1318

  • 2536


80.

A person who tosses an unbiased coin gains two points for turning up a head and loses one point for a tail. If three coins are tossed and the total score X is observed, then the range of x is

  • {0, 3, 6}

  • {- 3, 0, 3}

  • {- 3, 0, 3, 6}

  • {- 3, 3, 6}


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