Probability CBSE Questions & Answers

Probability

This is Mathematics Class 11 Probability CBSE Questions & Answers. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Three prizes are distributed among three persons at random. The chances that none of the persons gets all the prizes is
  • A
    210/ 216
    Correct
  • B
    none of these
  • C
    120/ 216
  • D
    6/ 216
2
The letters of the word ‘ MALENKOV ‘are arranged in all possible ways. The chance that there are exactly four letters between M and E is
  • A
    3/ 14
  • B
    none of these
  • C
    3/ 28
    Correct
  • D
    1/ 14
3
The letters of the word ‘ ORIENTAL ‘ are arranged in all possible ways . The chance that the consonants and vowels occur alternately is
  • A
    1/ 70
  • B
    1/ 35
    Correct
  • C
    none of these
  • D
    2/ 35
4
8 coins are tossed at a time. The probability of getting atleast 6 heads up is
  • A
    1/ 64
  • B
    37/ 256
    Correct
  • C
    57/ 64
  • D
    229/ 256
5
There are 2 boxes. One box contains 3 white balls and 2 black balls. The other box contains 7 yellow balls and 3 black balls. If a box is selected at random and from it, a ball is drawn , the probability that the ball drawn is black is
  • A
    1/ 3
  • B
    7/ 20
    Correct
  • C
    1/ 5
  • D
    1/ 20
6
If A and B are two mutually exclusive events, then P (A + B) is equal to
  • A
    P (A) + P (B)
    Correct
  • B
    P (A) P (B)
  • C
    P (A) P (B’) + P (A’) P (B)
  • D
    P (A) P (B’) P(A’) P (B).
7
If \({E_1}\) and \({E_2}\) are two independent events, then P \(\left( {{E_1} \cap {E_2}} \right)\) is equal to
  • A
    \(P\left( {{E_1})P({E_2}} \right)\)
    Correct
  • B
    \(P\left( {{E_1}) + P({E_2}} \right) + P({E_1} + \cup {E_2})\)
  • C
    none of these
  • D
    \(P\left( {{E_1})\;P\;({E_2}} \right)\)
8
If E is an event, then P \(\left( {\bar E} \right)\) is equal to
  • A
    1 – P (E)
    Correct
  • B
    P (E)
  • C
    - P (E)
  • D
    1 + P (E)
9
The probability that a teacher will give an unannounced test during any class is\({1 \over 5}\). If a student is absent twice, then the probability that he misses atleast one test is
  • A
    \({7 \over {25}}\)
  • B
    \({2 \over 5}\)
  • C
    \({9 \over {25}}\)
    Correct
  • D
    \({4 \over 5}\)
10
If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A fails or B fails is
  • A
    0.06
  • B
    0.5
  • C
    none of these
  • D
    0.44
    Correct
11
In a single throw of two dice, the probability of getting a total of 7 or 9 is
  • A
    \({4 \over {18}}\)
  • B
    \({1 \over 3}\)
  • C
    \({5 \over {18}}\)
    Correct
  • D
    none of these
12
A box contains 100 tickets numbered 1, 2, 3, ….100. Two tickets are chosen at random. If it is given that the maximum number on the two chosen tickets is not more than 10, then the probability that the minimum number on them is not less than 5 is
  • A
    \({1 \over 2}\)
  • B
    none of these
  • C
    \({{152} \over {165}}\)
  • D
    \({1 \over 3}\)
    Correct
13
Let A and B be two independent events. The probability that both A and B occur is \({1 \over {12}}\) and the probability that neither A nor B occurs is\({1 \over 2}\) . The respective probabilities of A and B are
  • A
    \({1 \over 6}and{1 \over 2}\)
  • B
    \({1 \over 3}and{1 \over 4}\)or \({1 \over 4}and{1 \over 3}\)
    Correct
  • C
    \({1 \over 2}and{1 \over 6}\)
  • D
    none of thse
14
Two events A and B 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
  • A
    0.89
  • B
    0.86
  • C
    0.375
  • D
    0.39
    Correct
15
India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.5 and 0.5 respectively. Assuming that the outcomes are independent, the probability of India getting atleast 7 points is
  • A
    0.0625
  • B
    0.0875
    Correct
  • C
    0.0250
  • D
    0.8750