When two balanced dice are rolled, there are 36 possible outcomes. find the probability that either doubles are rolled or the sum of the dice is 10?

Respuesta :

[tex] |\Omega|=36\\
|A|=\underbrace{6}_{\text{doubles}}+\underbrace{2}_{\text{sum is 10 (without double (5,5))}}=8\\\\
P(A)=\dfrac{8}{36}=\dfrac{2}{9}\approx22\% [/tex]

The probability that either doubles are rolled or the sum of the dice is 10 is 2/9.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Total possible outcomes= 36

Probability that either doubles are rolled or the sum of the dice is 10

= 6 (doubles) + 2 (sum is 10, without double (5,5))

=8

P( either doubles are rolled or the sum of the dice is 10)= 8/36

                                                                                            = 2/9

Thus, probability that either doubles are rolled or the sum of the dice is 10 is 2/9.

Learn more about probability here:

brainly.com/question/17646373

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