What is the minium value of probability?​

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What is the minium value of probability?​

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Ella 3 hours 2021-09-14T18:57:03+00:00 2 Answers 0 views 0

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    0
    2021-09-14T18:58:19+00:00

    Minimum value of probability:

    • Probability of an event always lies between 0 and 1.
    • 0 ≤ P ≤ 1
    • Hence maximum probability of event is 1.
    • Also minimum probability of event is 0.
    • Generally we call such events as impossible events.
    • Let us take an example as below.

    •°• Eg. Consider two coins are tossed simultaneously.

    •°• Sample space ( S ) = {HH, HT, TH, TT}.

    •°• Let A be the event of getting three heads

    •°• We cannot get three heads as only two coins are tossed.

    •°• A = { }

    •°• P(A) = n(A) / n(S)

    •°• n(S) = 4

    •°• n(A) = 0

    •°• P(A) = 0 / 4

    •°• P(A) = 0

    •°• So here we can clearly see that the probability of an impossible event is zero as the name itself says it is impossible.

    Additional information:

    Example for maximum value of probability:

    °•° Consider rolling a die.

    °•° Sample space ( S ) = {1, 2, 3, 4, 5, 6}.

    °•° Let B be the event of getting a natural number less than 7.

    °•° All numbers of a die are below 7 and are natural numbers.

    °•° B = {1, 2, 3, 4, 5, 6}.

    °•° P(B) = n(B) / n(S)

    °•° n(S) = 6

    °•° n(B) = 6

    °•° P(B) = 6 / 6

    °•° P(B) = 1

    °•° So here we can clearly see that the probability of the event is one which is the maximum value of probability.

    0
    2021-09-14T18:58:56+00:00

    Answer:

    To find the minimum value of P(A and B), consider that any probability cannot exceed 1, so the maximum P(A or B) is 1. Remember, P(A or B) = P(A) + P(B) – P(A and B) Therefore, the actual value of P(A and B) will lie somewhere between 0.1 and 0.4 (both inclusive).

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