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ehidna [41]
3 years ago
15

Tara has two standard, six-sided dice. If she rolls them 36 times, how many times should she expect a sum less than 5 to show up

?
Justify your answer.
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0
There are six sides on each die. For each possible score on Die 1, there are six possible scores on Die 2. So the number of possible combinations is 6*6 = 36. 
<span>It follows that if the dice are thrown 36 times, you would expect each combination to come up once. </span>

<span>We therefore simply need to know how many combinations add up to less than 5. (I've interpreted this as not including a total of 5 itself). </span>
<span>These combinations are: 1 and 1, 2 and 1, 1 and 2, 2 and 2, 3 and 1, and 1 and 3 ---> six combinations out of 36. </span>

<span>So you'd expect a sum less than 5 six times. </span>
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