emilyng263 emilyng263
  • 19-07-2022
  • Mathematics
contestada

Suppose a and b are independent events. if p(a) = .5 and p(b) = 0.45 what is p(a^b)

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vintechnology vintechnology
  • 20-07-2022

If P(a)=0.5 and P(b) =0.45, then P(a ∩ b) is 0.225.

What are independent events?

Independent events are events such that the occurrence of one event won't affect the other.

Therefore,

P(a) × P(b) = P(a ∩ b)

Hence,

P(a) = 0.5

P(b) = 0.45

Therefore,

P(a ∩ b) = 0.5 × 0.45

P(a ∩ b) = 0.225

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