Question

1. If two events are independent how do we calculate the and probability, P(E and F), of the two events?

(As a side note: this "and" probability, P(E and F), is called the joint probability of Events E and F. Likewise, the probability of an individual event, like P(E), is called the marginal probability of Event E.)

2. One way to interpret conditional probability is that the sample space for the conditional probability is the "conditioning" event. If Event A is drawing a 10 from a standard deck of playing cards and Event B is drawing a "spade" from a standard deck of playing cards, what would be the sample space for the conditional probability P(A|B)?

3. What is relationship between two events if the conditional probability is equal to the "unconditional" probability? That is: if P(E|F) = P(E)?

Answer 1

SOLUTION:-

2).what would be the sample space for the conditional probability P(A|B):-

Probability to select drawing a 10 of spades =1/52......(1)

Probability to select drawing spade=13/52........(2)

P(A | B)=Eqn(1)/Eqn(2)

P(A | B)=1/13

There fore 0.077

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