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Evgen [1.6K]
2 years ago
10

Six 6-sided dice are rolled. What is the probability that exactly two of the dice show a 1 and exactly two of the dice show a 2?

Express your answer as a common fraction.
Mathematics
1 answer:
beks73 [17]2 years ago
6 0

Using it's concept, the probability that exactly two of the dice show a 1 and exactly two of the dice show a 2 is: 10/243.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

One of the six numbers is of 1, and also one out of six is 2. The other two trials can be any of the other 4 numbers, hence the probability for the six rolls has the following format:

p = (1/6)² x (1/6)² x (4/6)²

This considers just one order, while there are six rolls, hence there are 6! possible orders, hence the probability is:

p = 6! x (1/6)² x (1/6)² x (4/6)² = 120 x 16/46656 = 10/243.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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The value of the quantity after 87 months will be of 599.64.

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A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

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