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20 September, 07:12

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30. What is the probability that he will score on two consecutive shots? 0.09 0.15 0.30 0.60 Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets? 1 2 3 4

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  1. 20 September, 07:32
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    a) 0.09

    b) 2 ways

    Step-by-step explanation:

    a) Probability Pedro's shot will score will be given as):

    P (score) = 0.30

    The probability he will score in 2 consecutive shots will be calculated as:

    P (score) * P (score)

    = 0.30 * 0.30

    = 0.09

    Therefore, probability he will score in 2 consecutive shots is 0.09

    b) Jillian has 3 bracelets: X, Y, & Z as a gift. If bracelet Y is chosen first, the number of ways Jillian can give out the bracelets since bracelet Y is chosen first, she will have 2 bracelets remaining. So, number of ways to distribute these 2 bracelets are:

    = 2!

    = 2 * 1

    = 2

    Which could be in this order:

    YXZ or YZX

    Therefore, the number of ways if Y is chosen first is = 2 ways
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