Probability


  1. A number is chosen at random among the first 120 natural numbers. The probability of the number chosen being a multiple of 5 or 15 is ?









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    ∵ Total no. of favourable cases i,e., (5, 10, 15, 20, 25, 30, ....., 105, 110, 115, 120) = 24.
    ∴ Reqd . Prob = 24/120 = 1/5

    Correct Option: A

    ∵ Total no. of favourable cases i,e., (5, 10, 15, 20, 25, 30, ....., 105, 110, 115, 120) = 24.
    ∴ Reqd . Prob = 24/120 = 1/5


  1. A bag contains 7 white and 9 red balls. The probability of drawing a white ball is ?









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    No of white balls = 7
    Total no. of balls = 7 + 9 = 16

    Correct Option: D

    No of white balls = 7
    Red balls = 9
    Total no. of balls = 7 + 9 = 16
    Probability of drawing a white ball = 7/16



  1. A card is drawn from a well shuffled pack of cards. The probability of getting a queen of club or king of heart is ?









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    Total ways = 52
    There is one queen of club and one king of heart favourable ways = 1 + 1 = 2.

    Correct Option: B

    Total ways = 52
    There is one queen of club and one king of heart favourable ways = 1 + 1 = 2.
    ∴ Required probability = 2/52 = 1/26


  1. Find the probability that a vowel selected at random from the 5 vowels is an 'i'. ?









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    Here, n(5) = {a, e, i,o, u}
    and E = Event of selecting the vowel i = {i}

    Correct Option: C

    Here, n(5) = {a, e, i,o, u}
    and E = Event of selecting the vowel i = {i}
    ∴ P(E)= n(E)/n(S) = 1/5



  1. If the probability that A will live 15 yr is 7/8 and that B will live 15 yr is 9/10, then what is the probability that both will live after 15 yr ?









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    Required probability = P(A) x P(B)

    Correct Option: B

    Required probability = P(A) x P(B)
    = (7/8) x (9/10)
    = 63/80