# If you have 3 quarters, 5 dimes, and 2 nickels in your pocket, what is the probability that you will reach into your p

Question

If you have 3 quarters, 5 dimes, and 2 nickels in your
pocket, what is the probability that you will reach into your
pocket and choose a coin, keep it in your hand, then reach
in to choose another coin and both coins will be quarters?

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3 weeks 2023-01-12T23:06:58+00:00 1 Answer 0 views 0

1. The probability of both coins quarters will be 1/15.

### What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
If you have 3 quarters, 5 dimes, and 2 nickels in your pocket.
Then the total number of the events will be
Total event = 3 + 5 + 2
Total event = 10
Then the probability that you will reach into your pocket and choose a coin, keep it in your hand, then reach in to choose another coin, and both coin’s quarters will be
P = (3/10) x (2/9)
P = 1/15
Then the probability of both coins quarters will be 1/15.