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Math Help - Probability of mutually exclusive events

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    Probability of mutually exclusive events

    A four-faced dice is rolled.Given A is an event of obtaining an even number and B is an event of obtaining a number less than 3.

    a)determine if event A and B are mutually exclusive

    b)Find the probability of obtaining an odd number or the number 4.
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  2. #2
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    Quote Originally Posted by mastermin346 View Post
    A four-faced dice is rolled.Given A is an event of obtaining an even number and B is an event of obtaining a number less than 3.

    a)determine if event A and B are mutually exclusive

    b)Find the probability of obtaining an odd number or the number 4.
    Hi mastermin346,

    (a)

    If you calculate the probability of obtaining a number <3,
    will you be including the probability that a "2" was rolled ?
    Are these events "mutually exclusive" ?

    (b)

    Is 4 odd?

    Hence if you calculate the probability of landing an odd number,
    will that include the probability of obtaining a 4?
    Are these events mutually exclusive?

    Hence, what do we do with the probabilities of both events to calculate the overall probability of "odd" or "4" ?
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    If two events A and B are mutually exclusive then Pr(A \cap B) = 0 and

    Pr(A \cup B) = Pr(A) + Pr(B) (this follows from the Addition Rule).


    Can you work out Pr(\textrm{Even } \cup <3)? Is this the same as Pr(\textrm{Even}) + Pr(<3)?
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