Originally Posted by

**WhoaBlackBetty** I have some problems similar to this, but in the back of the book it just says answers will vary...

Could someone please break this down to me?

Given events A and B within the sample space S, the following sequence of steps establishes formulas that can be used to compute conditional probabilities. Justify each statement.

a) $\displaystyle P(A and B) = P(A) * P(B|A)$

b)Therefore, $\displaystyle P(B|A) = P(A and B)/P(A)$

c) Therefore, P(B|A) = n(A and B)/n(S) over n(A)/n(S)

d)Therefore, $\displaystyle P(B|A) = n(A and B)/ n(A)$

Use the results from above to find each probability in a standard deck of 52 cards.

Like this one for example:

$\displaystyle P (red | diamond)$ Mr F says: This probability is obviously equal to 1.