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Probability Test - 3

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Probability Test - 3
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  • Question 1
    1 / -0

    Directions For Questions

    Two coins are tossed simultaneously 50 times with the following outcomes:

    Outcome 2 Heads 1 Heads No Heads
    Frequency 15 10 25

     

    ...view full instructions

    What is the probability of getting more than two heads?

    Solution

    When two coins are tossed simultaneously, the occurrence of more than two heads is an impossible event. So, probability of the given event is 0.

     

  • Question 2
    1 / -0

    Directions For Questions

    Two coins are tossed 50 times with the following outcomes:

    Outcome 2 heads 1 heads No heads
    Frequency 15 10 25

    ...view full instructions

    What is the probability of getting one tails?

    Solution

    Probability of getting one tails = Probability of getting one heads
    = Number of times one heads occurs/Total number of trials
    = 10/50
    = 1/5

     

  • Question 3
    1 / -0

    Directions For Questions

    Two coins are tossed 50 times with the following outcomes:

    Outcome 2 heads 1 heads No heads
    Frequency 15 10 25

    ...view full instructions

    What is the probability of getting 1 heads?

    Solution

    Probability of getting one heads and one tails = Number of times one heads and one tails occurred/Total number of trials = 10/50 = 1/5

     

  • Question 4
    1 / -0

    For a event A, P(A) = 0. What is the value of P(not A)?

    Solution

    We have P(A) + P(not A) = 1
    ⇒ P(A) = 1 - P(not A)
    And P(not A) = 1 - P(A)
    ⇒ P(not A) = 1 - 0 [∵ P(A) = 0]
    ⇒ P(not A) = 1

     

  • Question 5
    1 / -0

    The probability of occurrence of an impossible event is

    Solution

    The probability of the occurrence of an impossible event is always 0.

     

  • Question 6
    1 / -0

    If a coin is tossed, what is the probability of getting a heads?

    Solution

    Sample space = {H, T}
    Total number of possibilities = 2
    Number of favourable outcomes = 1
    ∴ Probability = 1/2

     

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