Probability Of Combined Events

Formula of Probability of Combined Events

The Probability of Combined Events Formula tin hold upward determined yesteryear the next formula:
P(A∪B) = P(A) + P(B) - P(A∩B)

Information :
P (A) = Probability of A 
P (B) = Probability of B 
P (A∩B) = Probability of H5N1 while B 
P (A∪B) = Probability of H5N1 combined B

Example of Probability of combined Events

In a dice, if H5N1 is the occurrence of the strange publish in addition to B is the occurrence of the prime number.So delight specify the peril of occurrence of strange or prime numbers!
Resolution:
S = {1, 2, 3, 4, 5, 6}
n(S) = 6

A = Odd numbers :{1, 3, 5}
n(A) = 3
P(A) = n(A)/n(S)
P(A) = 3/6

B = Prime numbers : {2, 3, 5}
n(B) = 3
P(B) = n(B)/n(S)
P(B) = 3/6


(A∩B) = {3, 5}
n(A∩B) = 2
P(A∩B) = n(A∩B)/n(S)
P(A∩B) = 2/6

P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∪B) = (3/6) + (3/6) - (2/6)
P(A∪B) = (3 + three - 2)/6
P(A∪B) = 4/6
P(A∪B) = 2/3
P(A∪B) = 0.67

So the peril of the emergence of strange numbers or prime numbers are 0.67 or 67%.

Just this article which I tin percentage to you.
I apologize if at that spot are incorrect give-and-take on this article
The halt of give-and-take wassalamualaikum wr. wb.

Reference :

  • The mathematics mass of the high schoolhouse shape XI IPA program

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