If you roll a pair of dice, what is the

Olivia Mcgrath

Olivia Mcgrath

Answered question

2022-02-14

If you roll a pair of dice, what is the probability of rolling either a single 5 or a sum that is an even number?

Answer & Explanation

anampireec2o

anampireec2o

Beginner2022-02-15Added 9 answers

Note that total number of possible cases are 62=36.
Getting a single 5 (Say event A) means situation like as (1, 5)(2, 5)(3, 5)(4, 5)(6, 5)(5, 1)(5, 2)(5, 3)(5, 4)(5, 6) i.e. 10 cases and we have 18 cases when sum is an even number (Say event B). But these two events are not mutually exclusive. Here (1, 5)(3, 5)(5, 1)(5, 3) i.e. 4 cases where we get a single 5 as well as sum is a even number (Say event AB).
So we have number of favorable cases to our event
=n(A)+n(B)n(AB)=10+184=24
So required probability =2436=23

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