SOLUTION: If A and B are independent events, P(A) = 0.3, and P(B) = 0.55, find the probabilities below. (a) P(A ⋂ B) (b) P(A ⋃ B)

Algebra.Com
Question 634703: If A and B are independent events, P(A) = 0.3, and P(B) = 0.55, find the probabilities below.
(a) P(A ⋂ B)

(b) P(A ⋃ B)

Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!
If A and B are independent events, P(A) = 0.3, and P(B) = 0.55, find the probabilities below.
 
(a)    P(A ⋂ B) = P(A)×P(B) = (0.3)(0.55) = 0.165

(b)    P(A ⋃ B) = P(A) + P(B) - P(A ⋂ B) = 0.3 + 0.55 - 0.165 = 0.385

Edwin

RELATED QUESTIONS

If A and B are independent events, P(A) = 0.4, and P(B) = 0.6, find the probabilities... (answered by nyc_function,jim_thompson5910)
You are given the probabilities below: P(a) = 0.25 P(B) = 0.30 P(C) = 0.55 P(A and C) (answered by robertb,jim_thompson5910)
A and B are independent events. P(B) = 0.5 and P(A AND B) = 0.3. Find P(A). Round your (answered by ikleyn)
Events A and B are independent. Find the indicated Probability. P (A) = 0.39 P (B) =... (answered by math_tutor2020)
A and B are independent events. Use the following probabilities to answer the question.... (answered by ikleyn)
Events A and B are independent events. Find the indicated Probability. P (A) = 0.4 P... (answered by ikleyn)
A and B are independent events. Round to 4 decimal places. P(A) = 0.33, P (A and B) =... (answered by ikleyn)
A and B are independent events. Use the following probabilities to answer the question.... (answered by ikleyn)
3- For two events A and B P(A)= 0.53,P(B) 0.36 and P(AnB)=0.29. Find a. P(A/B) b.... (answered by ikleyn)