if And B are two independent events then provethat the probability
if And B are two independent events then provethat the probability
shreyansh , 7 Years ago
Grade 12th pass
Magical Mathematics[Interesting Approach]> if And B are two independent events then ...
1 Answers
Arun
Last Activity: 7 Years ago
Dear Shreyansh
you question is incomplete but I am solving it on my memory
Probability of occurence of at least one of A or B is P(AUB) = P(A) + P(B) – P(A^B).
As Events are independent, P(A^B) = P(A).P(B)
Substituting,
P(AUB) = P(A) + P(B) – P(A).P(B)
= P(A) + P(B)[ 1 – P(A)]
= P(A) + P(B).P(A’)
= 1 – P(A’) + P(B).P(A’)
= 1 – P(A’)[ 1 – P(B)]
= 1 – P(A’)P(B’)
Provide a better Answer & Earn Cool Goodies
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Other Related Questions on magical mathematics[interesting approach]
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
magical mathematics[interesting approach]
1 Answer Available
Last Activity: 2 Years ago
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
magical mathematics[interesting approach]
1 Answer Available
Last Activity: 2 Years ago
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?
magical mathematics[interesting approach]
0 Answer Available
Last Activity: 3 Years ago
for any two sets A and B (A-B)U(B-A)U (A intersection B)
for any two sets A and B (A-B)U(B-A)U (A intersection B)
magical mathematics[interesting approach]
0 Answer Available
Last Activity: 3 Years ago
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in 30:70
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in 30:70
magical mathematics[interesting approach]
0 Answer Available
Last Activity: 3 Years ago