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Math Help - Mutually exclusive events and law of complement problems!

  1. #1
    Newbie divinewisdom0218's Avatar
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    Mutually exclusive events and law of complement problems!

    1. In a game show, sergio is asked to draw a single ball from a box containing 50 balls numbered 1 to 50. If the ball drawn bears a prime number or multiple of 10, Sergio wins 1,000 in cash . Similarly, if Sergio draws a ball whose number is either an even number or a multiple of 5, he wins 500 in cash. what is the probability that sergio shall win ...
    a) 1,000?
    b) 500?

    2. What is the probability of picking a card that is either is either a diamond or an ace from a standard deck of 52 cards?

    3. A box contains 4 white balls and 5 red balls. If three balls are drawn from the box, find the probability that;
    a) one ball is white
    b) no ball is white
    c) atleast one ball is white
    d) at most one ball is white

    Can somebody out there help me up? I really do appreciate it if anybody could help me?
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  2. #2
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    Quote Originally Posted by divinewisdom0218 View Post
    2. What is the probability of picking a card that is either is either a diamond or an ace from a standard deck of 52 cards?
    3. A box contains 4 white balls and 5 red balls. If three balls are drawn from the box, find the probability that;
    a) one ball is white
    b) no ball is white
    c) atleast one ball is white
    d) at most one ball is white
    2.
    P(diamond)=13/52
    p(ace)=4/52
    p(diamond or ace)=p(d U a)

    p(d U a)
    =p(d)+p(a)-p(diamond and ace)
    =13/52+4/52-1/52

    3.
    a) p(WRR)+p(RWR)+p(RRW)
    b) p(RRR)
    c) 1-p(RRR)
    d) p(WRR)+p(RWR)+p(RRW)+p(RRR)
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  3. #3
    MHF Contributor kalagota's Avatar
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    Taguig City, Philippines
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    1. If i remember it correctly, P(winning 1000) = P(getting a prime number or a multiple of 10) try doing this, kabayan..
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  4. #4
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    Quote Originally Posted by divinewisdom0218 View Post
    1. In a game show, sergio is asked to draw a single ball from a box containing 50 balls numbered 1 to 50. If the ball drawn bears a prime number or multiple of 10, Sergio wins 1,000 in cash . Similarly, if Sergio draws a ball whose number is either an even number or a multiple of 5, he wins 500 in cash. what is the probability that sergio shall win ...
    a) 1,000?
    b) 500?

    [snip]
    What happens if the number is a multiple of 5 AND a multiple of 10 eg. 20? Does Sergio win $1500 rather than $1000 or $500?
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