A high school basketball team leads at halftime in 60% of the games in a season.

Question

A high school basketball team leads at halftime in 60% of the games in a season. The team wins 80% the time when they have the halftime lead, but only 10% of the time when they do not what is the probablity that the team wins a particular game during the season? Ex Comparing Independent and Dependent Events You randomly select 3 cards from a standard deck of 52 playing cards. What is the probability that al 3 cards are hearts when (a) you replace each the next card? Compare the probabilities. Using a Table to Find Conditional Probabilities Alrtraity control inspactor checks for defective pars. The table shows the resuts of the inspector's work. Find (a) the probability that a defective part "passes. part "fails Pass Fail 3 36 Defective Non-defective 450 11 Finding a Conditional Probability At a school 60% of students buy a s hool lunch. Only 10% of students buy lunch and dessert. what is the probability that a student who buys lunch also buys dessert? re Practice

Explanation / Answer

1) P(the team wins a game) = P(winning when the lead at half time) + P(winning when they do not have lead at half time)

= 0.6x0.8 + 0.4x0.1

= 0.52

2) P(3 hearts with replacement) = (13/52)3

= (1/4)3

= 0.0156

P(3 hearts without replacement) = (13/52) x (12/51) x (11/50)

= 0.0129

3) P(defective part passes) = 3/(36+3) = 0.0769

P(non defective part fails) = 11/(450+11) = 0.0239

4) P(student who buys lunch buys dessert) = 0.10/0.60

= 0.1667

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