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Alex Ar [27]
3 years ago
13

Willie and Emily each purchase one raffle ticket. If a total of seven raffle tickets are sold, what is the probability that Will

ie wins the grand prize and Emily wins the second prize?
Mathematics
2 answers:
statuscvo [17]3 years ago
5 0

Answer:

1/42

Step-by-step explanation:

Nimfa-mama [501]3 years ago
4 0

1/42

First, find the probability of Willie winning the grand prize. He has 1 ticket out of the 7 total tickets, so the probability is 1/7.

Now, find the probability of Emily winning the second prize. After the grand prize winner has been announced, there are only 6 tickets left. Emily has 1, so the probability is 1/6.

Finally, multiply the two probabilities together to find the probability that they will both happen together. To multiply fractions, multiply the numerators together and multiply the denominators together. This leaves us with (1 * 1) / (7 * 6), which is easy to simplify to 1/42, which is the final probability.

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What eqauls to 31.25
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125 = 5^3 = 25 * 5

4 \cdot \sqrt{125} = 4 \sqrt{25 \cdot 5} = 4 \cdot 5 \sqrt{5} = 20\sqrt{5}

The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.

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