a jar contains a $5 note, two $10 notes, a $20 note and a $50 note. if 2 notes are taken out by rand

Discussion in 'Calculator Requests' started by math_celebrity, May 26, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    a jar contains a $5 note, two $10 notes, a $20 note and a $50 note. if 2 notes are taken out by random, find the probability that their sum is $15

    To get a sum of $15, we'd need to pull the $5 and the $10.

    Since both events are indepdenent, we have:
    P($5 or 10) or P(whatever is not pulled in the first pull)
    First Pull: 2/4 (We can pull either a $10 or a $5, so 2 choices out of 4 bills)
    Second Pull: 1/3 <-- since there are only 3 bills and 1 bill to pull

    Each pull is independent, so we multiply:
    2/4 * 1/3 = 2/12

    We can simply this, so we type this fraction in our search engine and we get:
    1/6
     

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