Probability Test

Probability

This is Probability Test-04 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
Ram and Shyam are friends. The probability that both will have the same birth day is
  • A
    \(\frac{1}{{365}}\)
    Correct
  • B
    \(\frac{2}{{365}}\)
  • C
    \(\frac{{364}}{{365}}\)
  • D
    none of these
2
A letter of English alphabets is chosen at random. The probability that the letter chosen is a consonant is
  • A
    \(\frac{5}{{26}}\)
  • B
    \(\frac{1}{{26}}\)
  • C
    \(\frac{2}{{26}}\)
  • D
    \(\frac{{21}}{{26}}\)
    Correct
3
Cards marked with numbers 1, 2, 3, ……….., 25 are placed in a box and mixed thoroughly and one card is drawn at random from the box. The probability that the number on the card is a multiple of 3 or 5 is
  • A
    \(\frac{8}{{25}}\)
  • B
    \(\frac{4}{{25}}\)
  • C
    \(\frac{{13}}{{25}}\)
    Correct
  • D
    \(\frac{3}{5}\)
4
A letter of English alphabets is chosen at random. The probability that the letter chosen is a vowel is
  • A
    \(\frac{2}{{26}}\)
  • B
    \(\frac{1}{{26}}\)
  • C
    \(\frac{5}{{26}}\)
    Correct
  • D
    \(\frac{4}{{26}}\)
5
Cards marked with numbers 1, 2, 3, ……….., 25 are placed in a box and mixed thoroughly and one card is drawn at random from the box. The probability that the number on the card is a multiple of 3 and 5 is
  • A
    \(\frac{4}{{25}}\)
  • B
    \(\frac{{12}}{{25}}\)
  • C
    \(\frac{8}{{25}}\)
  • D
    \(\frac{1}{{25}}\)
    Correct
6
A lot consists of 40 mobile phones of which 32 are good, 3 have only minor defects and 5 have major defects. Ram will buy a phone if it is good or have minor defects. One phone is selected at random. The probability that it is acceptable to Ram is
  • A
    \(\frac{3}{5}\)
  • B
    \(\frac{4}{5}\)
  • C
    \(\frac{3}{{40}}\)
  • D
    \(\frac{7}{8}\)
    Correct
7
1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Ramesh has purchased one lottery ticket, the probability of winning a prize is
  • A
    \(\frac{1}{{1000}}\)
  • B
    \(\frac{1}{{100}}\)
  • C
    \(\frac{5}{{100}}\)
  • D
    \(\frac{1}{{200}}\)
    Correct
8
A bag contains 6 red, 8 white, 4 green and 7 black balls. One ball is drawn at random. The probability that the ball drawn is neither green nor white is
  • A
    \(\frac{{12}}{{25}}\)
  • B
    \(\frac{{13}}{{25}}\)
    Correct
  • C
    \(\frac{8}{{25}}\)
  • D
    \(\frac{4}{{25}}\)
9
A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball is double that of a red ball, then the number of blue balls is
  • A
    none of these
  • B
    12
  • C
    8
  • D
    10
    Correct
10
Cards marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from the box. The probability that the number on the card is a prime number less than 20 is
  • A
    \(\frac{2}{{25}}\)
    Correct
  • B
    \(\frac{4}{{25}}\)
  • C
    \(\frac{8}{{25}}\)
  • D
    \(\frac{{12}}{{25}}\)
11
The king, queen and jack of clubs are removed from a deck of 52 cards and the remaining cards are shuffled. A card is drawn from the remaining cards. The probability of getting a king is
  • A
    \(\frac{3}{{49}}\)
    Correct
  • B
    \(\frac{4}{{52}}\)
  • C
    \(\frac{3}{{52}}\)
  • D
    \(\frac{4}{{49}}\)
12
Raju bought a fish from a shop for his aquarium. The shop keeper takes out one fish from a tank containing 15 male fish and 18 female fish. The probability that the fish taken out is a male fish is
  • A
    none of these
  • B
    \(\frac{6}{{11}}\)
  • C
    \(\frac{5}{{11}}\)
    Correct
  • D
    \(\frac{7}{{11}}\)
13
A die is thrown twice. The probability that 5 will come up at least once is
  • A
    \(\frac{{25}}{{36}}\)
  • B
    0
  • C
    1
  • D
    \(\frac{{11}}{{36}}\)
    Correct
14
Two dice are thrown simultaneously. The probability that the sum of the numbers appearing on the dice is 1 is
  • A
    none of these
  • B
    0
    Correct
  • C
    1
  • D
    2
15
Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the dice is 7 is
  • A
    2
  • B
    none of these
  • C
    0
    Correct
  • D
    1