Question

John makes 35% of his free throw shots.

Sue makes 40% of her free throw shots.
What is the probability that...
1. John and sue both miss their shots?
2. John and Sue both make their shots?
3. John makes his shot and Sue misses
hers?
4. John misses his shot and Sue makes
hers?
Show your work and write to explain how you
know you are correct.

Answer 1

(1)0.39

(2)0.14

(3)0.21

(4)0.26

Explanation:

John makes 35% of his free throw shots.

• The probability that John makes his shot =0.35
• The probability that John misses his shot =1-0.35=0.65

Sue makes 40% of her free throw shots.

• The probability that Sue makes her shot =0.4
• The probability that Sue misses her shot =1-0.4=0.6

(1)John and sue both miss their shots

P(John and sue both miss their shots)

=P(John miss his shot) X P(Sue misses her shot)

=0.65 X 0.6 =0.39

(2)John and Sue both make their shots

P(John and Sue both make their shots)

=P(John makes his shot) X P(Sue makes her shot)

=0.35 X 0.4=0.14

(3)John makes his shot and Sue misses hers

P(John makes his shot and Sue misses hers)

=P(John makes his shot) X P(Sue misses her shot)

=0.35 X 0.6=0.21

(4)John misses his shot and Sue makes hers

P(John misses his shot and Sue makes hers)

=P(John miss his shot) X P(Sue makes her shot)

=0.65 X 0.4 =0.26