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28 February, 07:41

For this item, any answers that are not whole numbers should be entered as a decimal, rounded to the tenths place. Brian's school locker has a three-digit combination lock that can be set using the numbers 5 to 9 (including 5 and 9), without repeating a number. The probability that the locker code begins with a prime number is %. The probability that the last digit of the locker code is an odd number is %.

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  1. 28 February, 09:13
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    The probability that the locker code begins with a prime number is 40%. The probability that the last digit of the locker code is an odd number is 40%

    Step-by-step explanation:

    Prime numbers are the numbers that only divide with 1 or itself. So in this case it is 5 and 7.

    The possible combinations are

    1*4*3 (with 5) + 1*4*3 (with 7) = 24

    Total combinations are 5*4*3=60

    (24/60) * 100 = 40 %

    2. Odd numbers are those which don't divide with 2. So in this case it is 6 and 8.

    The possible combinations are

    1*4*3 (with 6) + 1*4*3 (with 8) = 24

    Total combinations are 5*4*3=60

    (24/60) * 100 = 40 %
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