Answer:
Step-by-step explanation:
The total number of outcomes is 6 x 6 (because a dice has 6 sides) or 36. On the dice, there are 6 sets of matching numbers:
1,1
2,2
3,3
4,4
5,5
6,6
The probability of this is 6/36 or 1/6. The probability of not matching is 30/36 or 5/6.
The probability of rolling a pair of different numbers when two dices are rolled is 5/6.
The probability is the chance of happening an event among all the events possible. It lies between 0 and 1. It cannot be negative.
Total number of combinations when two dices are rolled=[tex]6^{2}[/tex]=36.
Combinations having same pair of numbers=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6).
Number of combinations having same pair of numbers=6.
Number of combinations having different pairs of numbers=36-6=30.
Probability of having different pair of numbers=Number of combinations having different pair of numbers/Total combinations
Probability=30/36
=5/6
Hence the probability of rolling a pair of different numbers when two dices are rolled is 5/6.
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