SOLUTION: P (A or B)= 1/4, P (A)= 1/6, and P (A and B)= 1/7 find P (B)

SOLUTION: P (A or B)= 1/4, P (A)= 1/6, and P (A and B)= 1/7 find P (B)

Algebra.Com

Question 1022580: P (A or B)= 1/4, P (A)= 1/6, and P (A and B)= 1/7 find P (B)
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Normally
P(A or B) = P(A) + P(B) - P(A and B)
Let's plug in and find P(B)
1/4 = 1/6 + P(B) - 1/7
so that
P(B) = 1/4 - 1/6 + 1/7
P(B) = 21/84 - 14/84 + 12/84
P(B) = 19/84
RELATED QUESTIONS
4. Compute the probability. a. If P(A) = 0.2 , P(B)= 0.4, and P(A and B) = 0.1, find... (answered by ikleyn)

Given that P(A or B) = 1/4, P(A) = 1/7, and P(A and B) = 1/8, find... (answered by Edwin McCravy)

P(A or B) =1/4, P(A)=1/7, and P(AandB)=1/9, FindP(B) (answered by jim_thompson5910)

Given that P(A or B) = 1/5, P(A) = 1/6, and P(A and B) = 1/8, find... (answered by ewatrrr)

Find P(A and B) if; (i) P(A)=1/2, P (B)=2/3, P(A or B)=3/4 (ii)... (answered by ikleyn)

if p(a)= 1/4, p(b)=1/2 and p(a & b)= 0.35, find the following: a) p(a/b) b)... (answered by greenestamps)

given that p(a or b0=1/5,p(a)=1/6.and p9aandb0=1/9 find... (answered by Fombitz)

A fair die is tossed. Consider events A = {2, 4, 6}, B = {1, 2}, C = {1, 2, 3, 4}. Find: (answered by greenestamps)

if P(A)= 7/36, P(B)= 1/6, and P(A and B)= 0, what can you say about P(A or... (answered by stanbon)