Probability Test

Probability

This is Probability Test-02 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The probability that a leap year will have 53 Sundays or 53 Mondays is
  • A
    \(\frac{3}{7}\)
    Correct
  • B
    \(\frac{2}{7}\)
  • C
    \(\frac{4}{7}\)
  • D
    \(\frac{1}{7}\)
2
The probability that a non leap year will have 53 Fridays and 53 Saturdays is
  • A
    \({tex}\frac{2}{7}\)
  • B
    \(\frac{1}{7}\)
  • C
    \({tex}\frac{3}{7}\)
  • D
    \(0\)
    Correct
3
The probability of selecting a queen of diamonds when a card is drawn from well shuffled pack of 52 cards is
  • A
    \(\frac{1}{{52}}\)
    Correct
  • B
    \(\frac{{16}}{{52}}\)
  • C
    \(\frac{1}{{13}}\)
  • D
    \(\frac{1}{{26}}\)
4
A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is
  • A
    \(\frac{4}{{13}}\)
  • B
    \(\frac{2}{{13}}\)
  • C
    \(\frac{{11}}{{13}}\)
    Correct
  • D
    \(\frac{8}{{13}}\)
5
A card is drawn from a pack of 52 cards at random. The probability of getting either an ace or a king card is
  • A
    \(\frac{8}{{13}}\)
  • B
    \(\frac{3}{{13}}\)
  • C
    \(\frac{4}{{13}}\)
  • D
    \(\frac{2}{{13}}\)
    Correct
6
The probability of a sure event is
  • A
    100
  • B
    1
    Correct
  • C
    0
  • D
    0.1
7
The probability of an impossible event is
  • A
    1
  • B
    0
    Correct
  • C
    100
  • D
    0.01
8
A box contains 10 white, 6 red and 10 black balls. A ball is drawn at random. The probability that the ball drawn is white or red is
  • A
    \(\frac{6}{{13}}\)
  • B
    \(\frac{4}{{13}}\)
  • C
    \(\frac{8}{{13}}\)
    Correct
  • D
    \(\frac{{10}}{{13}}\)
9
A letter is chosen at random from the word ‘ACCOMMODATION’. The probability that it is ‘A’ or ‘O’ is
  • A
    \(\frac{6}{{13}}\)
  • B
    \(\frac{5}{{13}}\)
    Correct
  • C
    \(\frac{{10}}{{13}}\)
  • D
    \(\frac{8}{{13}}\)
10
A card is drawn at random from a well shuffled deck of 52 cards. The probability that it will be a spade or a king is
  • A
    \(\frac{8}{{13}}\)
  • B
    \(\frac{{10}}{{13}}\)
  • C
    \(\frac{4}{{13}}\)
    Correct
  • D
    \(\frac{6}{{13}}\)
11
One number is chosen randomly from the integers 1 to 50. The probability that it is divisible by 4 or 6 is
  • A
    \(\frac{8}{{25}}\)
    Correct
  • B
    \(\frac{2}{{25}}\)
  • C
    \(\frac{4}{{25}}\)
  • D
    \(\frac{6}{{25}}\)
12
Two dice are rolled simultaneously. The probability that the sum of the numbers on the faces is 9 is
  • A
    \(\frac{1}{9}\)
    Correct
  • B
    \(\frac{4}{9}\)
  • C
    \(\frac{2}{9}\)
  • D
    \(\frac{5}{9}\)
13
A ticket is drawn from a bag containing 100 tickets numbered from 1 to 100. The probability of getting a ticket with a number divisible by 10 is
  • A
    \(\frac{4}{{10}}\)
  • B
    \(\frac{3}{{10}}\)
  • C
    \(\frac{1}{5}\)
  • D
    \(\frac{1}{{10}}\)
    Correct
14
3 rotten eggs are mixed with 12 good ones. One egg is chosen at random. The probability of choosing a rotten egg is
  • A
    \(\frac{1}{{15}}\)
  • B
    \(\frac{2}{5}\)
  • C
    \(\frac{1}{5}\)
    Correct
  • D
    \(\frac{4}{5}\)
15
Two coins are tossed together. The probability of getting at most one head is
  • A
    \(\frac{3}{4}\)
    Correct
  • B
    \(\frac{1}{4}\)
  • C
    \(\frac{2}{4}\)
  • D
    \(1\)