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.

Answers

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.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

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.

probabilitythat exactly two of the dice show a 1 and exactly two of the dice show a 2 is:10/243.## What is a probability?

number of desired outcomes divided by the number of total outcomes.probability for the six rollshas the following format:6! possible orders, hence theprobabilityis:probabilitiesat https://brainly.com/question/14398287