Question

If two dice are rolled at a time once then what is the probability of getting the same outcome on both the dice?

Answer 1

Answer:Probability for rolling two dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each die. When two dice are thrown simultaneously, thus number of event can be 62 = 36 because each die has 1 to 6 number on its faces.

hope it helps u

Answer 2

The probability of getting the same outcome on both the dice = 1/6

Given :

Two dice are rolled at a time once

To find :

The probability of getting the same outcome on both the dice

Solution :

Step 1 of 3 :

Write down total number of possible outcomes

Here it is given that two dice are rolled at a time once

So the event points are

= { (1,1), (1,2), (1,3), (1,4),(1,5),(1,6),(2,1), (2,2), (2,3), (2,4),(2,5),(2,6),(3,1), (3,2), (3,3), (3,4),(3,5),(3,6),(4,1), (4,2), (4,3), (4,4),(4,5),(4,6),(5,1), (5,2), (5,3), (5,4),(5,5),(5,6),(6,1), (6,2), (6,3), (6,4),(6,5),(6,6)}

So the total number of possible outcomes = 36

Step 2 of 3 :

Find total number of possible outcomes for the event

Let A be the event that of getting the same outcome on both the dice

Then the event points for the event A are (1,1),(2,2),(3,3),(4,4),(5,5),(6,6)

So the total number of event points for the event A is 6

Step 3 of 3 :

Find the probability

The probability of getting the same outcome on both the dice

$\sf{ =P(A) }$

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{6}{36} }$

$\displaystyle \sf{ = \frac{1}{6} }$

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