Question

Instructions: Match each equations with correct type of event.

Answer 1

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The correct match of events with order are,

• P(A)P(B|A) - Dependent event
• P(A)+P(B) - Mutually exclusive events
• P(A and B)/P(A) - Conditional events
• P(A) . P(B) - Independent Events
• P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

$\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}$

Hence the correct match are -

• $\mathrm{P(A)P(B|A)\rightarrow}$ Dependent event
• $\mathrm{P(A)+P(B)}\rightarrow$ Mutually exclusive events
• $\mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow}$ Conditional events
• $\mathrm{P(A) . P(B)\rightarrow}$ Independent Events
• $\mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow}$ not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

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