Asked by Brian
In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing balls numbered 0-9, inclusive. Find the probability that a ticket holder has the indicated winning ticket.
The first three digits in exact order.
The first three digits in exact order.
Answers
Answered by
MathMate
Assuming a ticket has four digits, would like to know if the last digit must match or not.
In any case, matching <i>each</i> of the first three digits has a probability of 1/10.
Matching all three is a three-step experiment, so multiplication rule applies, or
P(123)=P(1)*P(2)*P(3)=1/10 * 1/10 * 1/10 =1/1000
I am sure you are able to take it from here if four digits are required to match to win.
In any case, matching <i>each</i> of the first three digits has a probability of 1/10.
Matching all three is a three-step experiment, so multiplication rule applies, or
P(123)=P(1)*P(2)*P(3)=1/10 * 1/10 * 1/10 =1/1000
I am sure you are able to take it from here if four digits are required to match to win.
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