Question

In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probabilities of matching

Answer 1

The probability of matching six numbers is $\frac{1}{47C_{6}}$.

How to find the probability of matching six numbers?

To find the probability, we have to divide the favorable events by the total number of events.

The total number of events is given by:

$47C_{6}$

We use combinations since the order doesn't matter.

The total number of favorable events is given by:

$6C_{6}$

The probability is given by:

$\frac{\text{Favorable events}}{\text{Total events}}=\frac{6C_{6}}{47C_{6}} \\= \frac{1}{47C_{6}}$

We have found the probability of matching all six balls to be $\frac{1}{47C_{6}}$.

Therefore, we have found that the probability of matching six numbers is $\frac{1}{47C_{6}}$.

Learn more about probability here: brainly.com/question/24756209

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Question: In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probability of matching six numbers.