Question

assume you roll three fair dices showing the numbers from 11 to 66. what is the probability that the three dices will show the same number?

Answer 1

The probability that all three dice are going to show up the same number is 1/3025.

We are going to solve this question using probability. Here, it has been given that there are three dice that show the numbers from 11 to 66. This means that one dice is going to show = 55 outcomes (i)

All three dice together are going to show = 55*55*55 = 166375 outcomes (ii)

No. of exclusive events when the dice are going to show the same number = 55 times (iii)

We know the formula = Probability of any event = $\frac{(No. of exclusive events)}{No. of possible outcomes}$

Using this formula and the values of (ii) and (iii), we get -

= 55/166375

= 1/3025

Therefore, upon using the formula for probability we are able to determine the probability of the three dice showing the same number.

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