Probability


  1. The probability of drawing a red card from a deck of playing cards is









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    Total number of cards n(S) = 52
    Number of red cards n(E) = 26
    ∴ P(E) = n(E)/n(S)

    Correct Option: D

    Total number of cards n(S) = 52
    Number of red cards n(E) = 26
    ∴ P(E) = n(E)/n(S) = 26/52 = 1/2


  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


  1. A single letter is selected at random from the word 'PROBABILITY' . The probability that it is a vowel, is ?









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    Total number of letters = n(S) = 11
    whereas, number of vowels = n(E) = 4
    ∴ Required probability = n(E)/n(s)

    Correct Option: B

    Total number of letters = n(S) = 11
    whereas, number of vowels = n(E) = 4
    ∴ Required probability = n(E)/n(s) = 4/11



  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