Apair of 120 shoes was discounted 20 percent a costumer had a coupon for an additional 5 off what was the final price of the shoes ?

The final price of the shoes is $91.20.  

Step-by-step explanation:

In order to find the final price of the shoes, we need to calculate each discount separately.  Since the initial cost of the shoes is $120, we need to first find the cost after the 20% discount.  If the shoes are discounted 20%, then we can find the cost by multiplying the original amount by 80%, or 0.8:  $120 x 0.80 = $96.00.  Since the customer also has an additional 5% off with the coupon, we can then take the new total, $96.00, and multiply by 95%, or 0.95, to get the final cost:  $96.00 x 0.95 = $91.20.  

Given:

Probability that the Yankees wins a game is

P(A) = 0.46

Probability that the Yankees loses a game is

P(A') = 1 - P(A') = 1 - 0.46 = 0.54

Probability that the Yankees scores 5 or more runs in a game is

P(B) = 0.59

Probability that the Yankees scores fewer than 5 runs in a game is

P(B') = 1 - P(B) = 1 - 0.59 = 0.41

Probability that the Yankees wins and scores 5 or more runs is

P(A⋂B) = 0.39

Applying the De Morgan's law, the probability that the Yankees scores fewer than 5 runs and they loses the game would satisfy:

1 - P(A'⋂B') = P(A) ⋃ P(B) = P(A) + P(B) - P(A⋂B)

or

1 - P(A'⋂B') = 0.46 + 0.59 - 0.39

or

1 - P(A'⋂B') = 0.66

=> P(A'⋂B') = 1 - 0.66 = 0.34

Applying the Bayes theorem, the probability that the Yankees would score fewer than 5 runs, given they lose the game:

P(B'|A')  = P(A'⋂B')/P(A')

or

P(B'|A') = 0.34/0.54 = 0.630

Hope this helps!

:)