Answered

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When rolling a pair of dice, find the probability that the sum is less than five and even.

Sagot :

In order to obtain the solution for this question, we need to find the sample space for 2 dice, which is given by:

As we can note, there are 36 events and there are 4 events which sum is less than five and even:

Since the probability is defined as the number of possible outcomes divided by the total number of outcomes, we have

[tex]P(\text{ sum less than 5 and even\rparen=}\frac{4}{36}[/tex]

By simplifying this result, the answer is:

[tex]P(\text{ less than 5 and even\rparen=}\frac{1}{9}[/tex]

View image YidaK326298
View image YidaK326298
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