4a) If you examine one person, are the events "has blood type A" and "has blood type B" disjoint, independent, or neither? Explain. 4b) If you examine two people, are the are the events "person 1 has blood type A" and "person 2 has blood type B" disjoint, independent, or neither? Explain.

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A Read aloud
Week 8 Probability Practice
Solve each problem on your own paper. Be sure to show your work.
1) Dan's Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 1% of
those he handles. Betty and Chuck each wash 30% of the dishes, and Betty breaks only 1% of
hers, but Chuck breaks 3% of the dishes he washes. (He, of course, will need a new job soon.)
You go to Dan's for supper one night and hear a dish break at the sink. What is the probability
no A
that Chuck is on the job?
2) The lacrosse team shirts have arrived in a big box all jumbled together. The box contains 4
medium, 10 large, and 6 extra-large shirts. You want a medium for you and your sister. Find the
probability of each event:
a) the first two you grab are the wrong size
b) the first medium shirt you find is the third one you check
c) the first four shirts you pick are all extra large
d) at least one of the first four shirts you check is a medium
pund
no.
3) "Toss 4 coins, record the # of tails." List the sample space. Are these events equally likely?
JI (4)
4a) If you examine one person, are the events "has blood type A" and "has blood type B"
disjoint, independent, or neither? Explain.
4b) If you examine two people, are the are the events "person 1 has blood type A" and "person 2
has blood type B" disjoint, independent, or neither? Explain.
5) Seventy percent of kids who visit a doctor have a fever, and 30% of kids with a fever have
sore throats. What is the probability that a kid who goes to the doctor has a fever and a sore
throat?
6) Research has determined that 35% of people own a dog, 28% of people own a cat, and 11% of
people own both.
a) What is the probability that a random person owns a dog or a cat?
b) What is the probability that a random person owns only a dog or neither animal?
7) You believe there is a 20% chance that you earn an A in English, a 10% chance for an A in
Physics, and a 5% chance for an A in both classes.
a) Find the probability you don't get an A in either class.
b) Are these disjoint events? How do
c) Are these independent events? How do you know?
you know?
8) Freshman and seniors were asked how much $ they spend on fast food in a week. Find each
a) a random student spent $10-$20
b) a random freshman spent less than $10
c) a random person spending more than $20 is a senior
d) a random student is a senior who spends less than $10
probability:
<S10
$10-$20
>S20
Total
Freshmen
23
12
Seniors
25.
48
72
61
28.
Total
115
五
Transcribed Image Text:A Read aloud Week 8 Probability Practice Solve each problem on your own paper. Be sure to show your work. 1) Dan's Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 1% of those he handles. Betty and Chuck each wash 30% of the dishes, and Betty breaks only 1% of hers, but Chuck breaks 3% of the dishes he washes. (He, of course, will need a new job soon.) You go to Dan's for supper one night and hear a dish break at the sink. What is the probability no A that Chuck is on the job? 2) The lacrosse team shirts have arrived in a big box all jumbled together. The box contains 4 medium, 10 large, and 6 extra-large shirts. You want a medium for you and your sister. Find the probability of each event: a) the first two you grab are the wrong size b) the first medium shirt you find is the third one you check c) the first four shirts you pick are all extra large d) at least one of the first four shirts you check is a medium pund no. 3) "Toss 4 coins, record the # of tails." List the sample space. Are these events equally likely? JI (4) 4a) If you examine one person, are the events "has blood type A" and "has blood type B" disjoint, independent, or neither? Explain. 4b) If you examine two people, are the are the events "person 1 has blood type A" and "person 2 has blood type B" disjoint, independent, or neither? Explain. 5) Seventy percent of kids who visit a doctor have a fever, and 30% of kids with a fever have sore throats. What is the probability that a kid who goes to the doctor has a fever and a sore throat? 6) Research has determined that 35% of people own a dog, 28% of people own a cat, and 11% of people own both. a) What is the probability that a random person owns a dog or a cat? b) What is the probability that a random person owns only a dog or neither animal? 7) You believe there is a 20% chance that you earn an A in English, a 10% chance for an A in Physics, and a 5% chance for an A in both classes. a) Find the probability you don't get an A in either class. b) Are these disjoint events? How do c) Are these independent events? How do you know? you know? 8) Freshman and seniors were asked how much $ they spend on fast food in a week. Find each a) a random student spent $10-$20 b) a random freshman spent less than $10 c) a random person spending more than $20 is a senior d) a random student is a senior who spends less than $10 probability: <S10 $10-$20 >S20 Total Freshmen 23 12 Seniors 25. 48 72 61 28. Total 115 五
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