The probability that you do not roll doubles on the first toss, but you do on the second toss is 13.89%
The probability of an event is represented by a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty. The more likely an event is, the more likely it will occur. Tossing a fair (unbiased) coin is a simple example.
Probability theory, which is widely employed in areas of study such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these concepts an axiomatic mathematical formalization. Probability theory is also utilized to explain the mechanics and regularities of complex systems.
Rolling doubles are possible in 6 of the 36 cases.
The probability is calculated by dividing the number of favorable outcomes by the total number of possible possibilities.
P(doubles) = Favorable/Possible outcomes
=6/36
=1/6
P( not A)=1-P(A)
P( not doubles)=1-1/6
=5/6
P(A∪B)=P(A)×P(B)
P(Doubles on second toss)=P(not doubles)×P(doubles)
=(5/6)(1/6)
=5/36
=0.1389
=13.89%
P(Doubles on second toss)≈0.1389
=13.89%
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