By rewriting the formula for the multiplication​ rule, you can write a formula for findingconditional probabilities. The conditional probability of event B​ occurring, given that event A has​ occurred, isUpper P left parenthesis Upper B vertical line Upper A right parenthesis equals StartFraction Upper P left parenthesis Upper A and Upper B right parenthesis Over Upper P left parenthesis Upper A right parenthesis EndFractionP(B A)=P(A and B)P(A).Use the information below to find the probability that a flight departed on time given that it arrives on time.The probability that an airplane flight departs on time is0.91.The probability that a flight arrives on time is0.86.The probability that a flight departs and arrives on time is0.84.

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Answer:

Step-by-step explanation:

Let A be the event that Flight departs on time

B be the event that Flight arrive on time

Probability that an airplane flight departs on time [tex]P(A)= 0.91[/tex]

Probability that Flight arrives on time [tex]P(B)=0.86[/tex]

Probability that Flight departs and arrives on time [tex]P\left ( A\cap B\right )=0.84[/tex]

Probability that a flight departed on time given that it arrives on time[tex]=\frac{P\left ( A\cap B\right )}{P\left ( B\right )}[/tex]

[tex]=\frac{0.84}{0.86}=0.97[/tex]

Answer:

A, C, E

Step-by-step explanation:

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