Probability with Sum of Two Dice


Two normal dice are thrown and the sum of the two uppermost spaces is noted. So this time, we’re specifically, we’re going to look at the sum. So again that’s my table and I’m going to fill it up by adding out the outcomes, so one plus one is two, one plus two is three, etc…., I’m just adding out the outcomes and these are the outcomes that I have. Okay? So again I’ve done a table and you’ll see how much easier it is by looking at the table to answer the questions.

So starting from a! Find the probability that the sum is 8. We can see that these ones the sum is 8. It’s just there for you. So you can see that. That’s one two three four five. So 5 out of 36 and we can’t simplify that any further, so that’s the answer. Okay? So that’s a.

b! Find the probability that the sum is even. Even numbers all of these ones 2 4 6 8 and 10 and 12. Okay? So count them up! So I think it’s probably just half of them which is going to be half, okay? That’s it. Again! Just looking at the table. Very very straightforward.

Find the probability that the sum is less than or equal to eight. So anything that’s 8 or less than.
So all of these numbers excluding the 9 10 11 and 12. Count them up! And you’ll see that. That’s 26, so simplify to 13 over 18.

d! Probability that the sum is more than eight. So it’s the ones that I’ve excluded in the previous question. So all of these ones starting from nine. Count them up! You get 10, so 10 out of 36. Simplify it to 5 on 18.

e! Probability that the sum is not 8. So it’s anything but this part here. So anything else except for the ones that have 8. Count them up! And you’ll see that. That’s 31 over 36 and you can’t simplify that any further. So that’s the answer. Okay? So how easy is that guys?

Dice questions are very very easy but because you can make silly mistakes by not picking out the right outcomes or missing some of them. Please draw up a table and then it will help you so much more, okay? So that was dice questions.


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