If two dice are rolled, what is the probability that either the sum of the two will be seven or at least one of the dice will show the number 5?
Answers
Answer:
5/12
Step-by-step explanation:
Generally the probability of p(A or B) = p(A) + p(B) - p(A & B). So first find the two individually. We’ll call “at least one 5” event A, and “sum=7” event B
How many ways are there to get at least one 5? There are 11 ways, because there are 6 ways to appear on die 1, 6 ways to appear on die 2, which adds to 12 but one of those overlaps. So p(A) = 11/36
How many ways are there to total 7? There are 6 ways: 1,6 2,5 3,4 4,3 5,2 6,1 so p(B)=6/36
So it looks like 17/36 but how many overlaps are there? In other words, what’s p(A& B)? At least one 5 AND sum of 7. Well there are 2 ways to do that, so p(A&B)=2/36
Thus the probability p(A or B) = 11/36 + 6/36 - 2/36 = 15/36 = 5/12
Answer:
and is 5 raisto 15
Step-by-step explanation:
A frequently asked questions (FAQ) forum is often used in articles, websites, email lists, and online forums where common questions tend to recur, for example through posts or queries by new users related to common knowledge gaps.