For the experiment of tossing a six sided die twice, what is the probability that...

auto23652im

auto23652im

Answered

2022-07-01

For the experiment of tossing a six sided die twice, what is the probability that the sum is 2, 3 or 12?

Answer & Explanation

Franco Cohen

Franco Cohen

Expert

2022-07-02Added 8 answers

Step 1
If you toss the die twice, there are 6 × 6 = 36 different outcomes.
Each of the 6 numbers for the first throw can be combined with each of the same six for the second throw.
Of those 36 outcomes, we only want:
a total of 2 this can only come from 1 + 1 = 2
a total of 3 this can come from 1 + 2 = 3 or 2 + 1 = 3
a total of 12 this can only come from 6 + 6 = 12
Step 2
So, of the total of 36 possible outcomes, there are only 4 that we want.
P ( 2 , 3 , 12 ) = 4 36 = 1 9

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