The daily number in the State Lottery is a three-digit nuber from 000 to 999. To win in “straight play”, a ticket must have the exact number

Question

The daily number in the State Lottery is a three-digit nuber from 000 to 999. To win in “straight play”, a ticket must have the exact number. To win in a “box play” , a ticket can have the three digit of the daily number in any order. Find the probabilty of winning in :

a) Straight play

b) Box play

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Sarah 6 days 2021-09-12T08:35:38+00:00 1 Answer 0

Answers ( )

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    2021-09-12T08:36:42+00:00

    Answer:

    a. P = \frac{1}{1000}

    b. P = \frac{3}{500}

    Step-by-step explanation:

    To win the ‘straight play’ a ticket must have the exact number. Given that there are 1000 numbers between 000 and 999. The probability of winning in striaght play is:

    P = \frac{1}{1000}

    To win in a box play, a ticket can have the three digit in daily order.

    Given three numbers A, B and C. There are 6 ways to arrange the numbers:

    ABC, ACB,  BAC, BCA,  CAB, CBA.

    Therefore the probability is: P = \frac{3}{500}

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