Probability Test

Probability

This is Probability Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
A number is selected at random from 1 to 75. The probability that it is a perfect square is
  • A
    \(\frac{{10}}{{75}}\)
  • B
    \(\frac{8}{{75}}\)
    Correct
  • C
    \(\frac{4}{{75}}\)
  • D
    \(\frac{6}{{75}}\)
2
A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. The probability that the coin drawn will not be a five rupee coin is
  • A
    \(\frac{8}{9}\)
  • B
    \(\frac{5}{9}\)
  • C
    \(\frac{7}{{18}}\)
  • D
    \(\frac{{17}}{{18}}\)
    Correct
3
The probability that a leap year selected at random will have 53 Fridays is
  • A
    \(\frac{2}{7}\)
    Correct
  • B
    \(\frac{6}{7}\)
  • C
    \(\frac{1}{7}\)
  • D
    \(\frac{4}{7}\)
4
The probability that a non leap year selected at random will have 53 Sundays is
  • A
    \(\frac{4}{7}\)
  • B
    \(\frac{3}{7}\)
  • C
    \(\frac{1}{7}\)
    Correct
  • D
    \(\frac{2}{7}\)
5
The probability that it will rain on a particular day is 0.76. The probability that it will not rain on that day is
  • A
    none of these
  • B
    \(0.24\)
    Correct
  • C
    \(0.76\)
  • D
    \(1\)
6
There are 20 boys and 15 girls in a class. A student is chosen as leader at random. The probability that the leader is a boy is
  • A
    15
  • B
    \(\frac{3}{7}\)
  • C
    \(\frac{4}{7}\)
    Correct
  • D
    20
7
From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a black king is
  • A
    \(\frac{1}{2}\)
  • B
    \(\frac{1}{{26}}\)
    Correct
  • C
    \(\frac{1}{{13}}\)
  • D
    \(\frac{3}{{26}}\)
8
From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a red queen is
  • A
    \(\frac{1}{2}\)
  • B
    \(\frac{1}{{26}}\)
    Correct
  • C
    \(\frac{1}{{13}}\)
  • D
    \(\frac{3}{{26}}\)
9
An unbiased die is thrown once. The probability of getting a composite number is
  • A
    \(\frac{1}{3}\)
    Correct
  • B
    \(\frac{2}{3}\)
  • C
    \(\frac{2}{5}\)
  • D
    \(\frac{1}{2}\)
10
From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a diamond 10 is
  • A
    \(\frac{4}{{52}}\)
  • B
    \(\frac{1}{{52}}\)
    Correct
  • C
    \(\frac{3}{{52}}\)
  • D
    \(\frac{2}{{52}}\)
11
An unbiased die is thrown once. The probability of getting an odd number is
  • A
    \(\frac{2}{3}\)
  • B
    \(\frac{1}{3}\)
  • C
    \(\frac{1}{2}\)
    Correct
  • D
    \(\frac{2}{5}\)
12
From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a face card is
  • A
    \(\frac{6}{{13}}\)
  • B
    \(\frac{4}{{13}}\)
  • C
    \(\frac{2}{{13}}\)
  • D
    \(\frac{3}{{13}}\)
    Correct
13
An unbiased die is thrown once. The probability of getting a number between 2 and 6 is
  • A
    \({tex}\frac{1}{3}\)
  • B
    \(\frac{2}{5}\)
  • C
    \(\frac{2}{3}\)
  • D
    \(\frac{1}{2}\)
    Correct
14
From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a jack of hearts is
  • A
    \(\frac{1}{{52}}\)
    Correct
  • B
    \(\frac{4}{{52}}\)
  • C
    \(\frac{2}{{52}}\)
  • D
    \(\frac{6}{{52}}\)
15
An unbiased die is thrown once. The probability of getting a multiple of 3 is
  • A
    \(\frac{1}{3}\)
    Correct
  • B
    \(\frac{2}{5}\)
  • C
    \(\frac{2}{3}\)
  • D
    \(\frac{1}{2}\)