A box contains 17 balls numbered 1 through 17. Two balls are drawn in succession without replacement. If the second ball has the number 4

Question

A box contains 17 balls numbered 1 through 17. Two balls are drawn in succession without replacement. If the second ball has the number 4 on it, what is the probability that the first ball had a smaller number on it? An even number on it?

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Đan Thu 3 years 2021-08-25T10:38:16+00:00 1 Answers 20 views 0

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  1. Giakhanh
    0
    2021-08-25T10:39:39+00:00
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    Answer:

    1 ; 7 /17

    Step-by-step explanation:

    17 balls numbered 1 through 17

    Picking without replacement :

    If the second ball picked = 4

    P(first ball has a smaller number)

    Numbers less Than = (3, 2, 1)

    P(number less than second ball Given 4 is drawn for second ball) :

    = (3/17 * 1/16) ÷ (3/17 * 1/16) +) 14/17 * 0)

    = (3 / 272) / (3 /272) * 0

    = 3 / 272 * 272 / 3

    = 1

    2.)

    (8/17 * 7/8) ÷ (8/17 * 7/8) + (9/17 * 1/17)

    7/17 ÷ (7 /17) + 10/17

    7 /17 ÷ 17/17

    7/17 ÷ 1

    7 /17

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