Probability Of Mutualy Gratis Events

Mutualy gratuitous events is an resultant that does non touching on to the other events. Suppose that the occurrence of an resultant A does non touching on the occurrence of resultant B together with vice versa. So the Probabiliy of the gratuitous events are an chance of 2 events that create non touching on each other betwixt events.

Probabiliy formula of mutualy gratuitous events

P(A∩B) = P(A) 10 P(B)

Information :
P(AnB) = Probability occurrence Influenza A virus subtype H5N1 together with occurrence B
P(A) = Probability occurrence A
P(B) = Probability occurrence B

Probabiliy lawsuit of mutualy gratuitous events


On throwing a die at once. A is the incident appearance the die numbers 3 on the showtime die together with B is the incident appearance the die reveal 5 of minute dice. together with then what is the probability of issuing die reveal 3 on the showtime die together with the die reveal 5 on the minute dice?

Resolution :
S = {(1, 1), (1, 2), (1, 3),..., (6, 6)}
n(S) = 36

A = {(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)}
n(A) = 6
P(A) = n(A)/n(S)
P(A) = 6/36
P(A) = 1/6

B = {(1, 5), (2, 5), (3, 5), (4, 5), (5, 5), (5, 6)}
n(B) = 6
P(B) = n(B)/n(S)
P(B) = 6/36
P(B) = 1/6

P(A∩B) = P(A) 10 P(B)
P(A∩B) = (1/6) 10 (1/6)
P(A∩B) = 1/36
P(A∩B) = 0.028

So the probability of issuing die reveal 3 on the showtime die together with the die reveal 5 on minute die is 0.028.

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Reference :
  • The mathematics majority of the high schoolhouse shape XI IPA program

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