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timama [110]
3 years ago
13

Suppose A and B are independent events. If P(A) = 0.3 and P(B) = 0.9, what is P(AuB)?

Mathematics
2 answers:
Snezhnost [94]3 years ago
7 0

Answer:

P(A\cup B)=0.93

Step-by-step explanation:

We have been given that A and B are independent events. We are asked to find P(A\cup B).  

We know that if two events are independent, then P(A\cup B)=P(A)+P(B)-P(A\cap B).      

P(A\cap B)=P(A)*P(B)

Substituting our given values in above formula we will get,

P(A\cup B)=0.3+0.9-(0.3*0.9)    

P(A\cup B)=1.2-0.27  

P(A\cup B)=0.93  

Therefore, the probability of P(A\cup B) is 0.93.

Nadusha1986 [10]3 years ago
3 0
When the events are independent
  P(A∪B) = P(A) + P(B) - P(A∩B) . . . . where P(A∩B) = P(A)·P(B)

Substituting the given numbers, you have
  P(A∪B) = 0.3 + 0.9 - 0.3·0.9
  P(A∪B) = 0.93
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Step-by-step explanation:

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Step-by-step explanation:

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