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AFCAT - Probability Test 1178
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AFCAT - Probability Test 1178
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  • Question 1/5
    1 / -0.33
    Two dice are thrown together. Find the probability that the sum of the number on the two faces is divisible by 4 or 6.
    Solutions

    Formula Used

    Probability = (No. of Favorable terms) / (Total No. of terms)

    Calculation

    If two dices are rolled then all the possibilities will be

    Total possibilities will be 36

    Favorable Outcomes = (1,3), (1, 5), (2, 2), (2,4), (2,6), (3,1), (3,3), (3,5), (4, 2), (4,4), (5,1), (5,3), (6,2), (6,6)

    Total number of favorable outcomes = 14

    Probability =

    Hence option a is correct.

  • Question 2/5
    1 / -0.33
    90 defective pens mixed with 10 good pens then what is the probability of getting good pen?
    Solutions

    Given

    90 defective pens mixed with 10 good pens


    Formula Used

    Probability = No. of favorable cases / Total no. of cases

     
    Calculation

    Total good pens = 10

    Favorable cases = 10

    Total cases = 90 + 10 = 100

    Probability = 10/100 = 1/10

    Hence option C is correct.

  • Question 3/5
    1 / -0.33
    What is the probability of tossing a coin twice and landing on two tails in a row?
    Solutions

    Formula Used

    Probability = No. of favorable cases / Total no. of cases

    When we toss two coins or one coin two times the total possibilities of outcomes = 4

    Sample Space = {(H, T), (T, H), (H, H), (T, T)}

    Then there is only one possibility for getting two tails in a row.

    Hence favorable case = 1

    Probability = 1/ 4

    Hence option D is correct.

  • Question 4/5
    1 / -0.33
    If two dice are thrown, then what is the probability that the sum on the two faces is greater than or equal to 5?
    Solutions

    sum on the two faces is less than 5 are (1+1),(1+2),(1+3),(2+1),(2+2),(3+1),

    Number of ways sum on the two faces is less than 5 = 6

    Total number of outcomes=36

    Number of ways the sum on the two faces is greater than or equal to 5 = 36-6=30

  • Question 5/5
    1 / -0.33
    What is the probability of getting a sum of 7 when two dice are rolled?

    Solutions

    If two dices are rolled then all the possibilities will be

    Total possibilities will be 36

    Favorable Outcomes = (1,6), (2,5), (3, 4), (4,3), (5,2), (6,1)

    Total number of favorable outcomes = 6

    Probability =

    Hence option b is correct.

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