
Noah B.
asked 05/21/2310 nickels, 12 dimes, and 8 quarters. Once money is drawn from the jar, you do NOT replace the money two quarters in a row
2 Answers By Expert Tutors

Beth B. answered 05/24/23
Math Tutor w/ over 2 years of teaching experience ready to help!
10 N
12 D
8 Q
Odds of pulling a quarter out 1st:
There are 8 quarters in the jar.
There are (10+12+8) coins in the jar.
So,.....
8/(10+12+8)
8/30 = 4/15
Odds of pull a quarter out 2nd, after pulling out a quarter 1st and not replacing it:
(8-1)/(30-1)
There is 1 less quarter in the jar because we just pulled out a quarter previously and didn't put it back, so: 8 - 1 = 7
There is also 1 less coin in the jar because of the same quarter we pulled out previously. So... (30 - 1) = 29
Odds of pulling out 2 quarters = 7/29
Daniel S. answered 05/22/23
Texas Holdem Pro Who Passed Probability Actuarial Exam
I assume that the question wants to know the odds of pulling two quarters in a row. First, understand that the odds for an event to occur are:
# of ways the desired event can occur
# of all possible events
The odds that the first coin drawn is a quarter would be 8/30 because there are 8 quarters and 30 total coins. Now given that a quarter was chosen on the first try, there are now 7 quarters left and 29 total coins left. Therefore, the odds that the second coin is also a quarter is 7/29.
When you are calculating the odds of two events both occurring, multiply together the odds of each event occurring. In the above scenario, the probability that two quarters will be drawn is
8 times 7 = 56 which is approximately 6.44%
30 29 870
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AJ L.
05/21/23