What is the probability that when a pair of dice is rolled, at least one die shows a 3 or the dice sum to 8?

Given condition is that two die are rolled together. So there are 36 combinations of two rolled dice. And the following have a sum of 8 : 2–6, 3–5, 4–4, 5–3 and 6–2. Out of these five combinations, 2 show the number 3.

So probability(sum is 8) becomes =

And probability of (shows a number 3) becomes =

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

hi im bob : l

step-by-step explanation: