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Mathematics, 22.04.2020 04:01 Chandler1Gaming

Please Help! I need answers in 1-3 hours! Also, could you show your work? Thanks!

Maria has eight black marbles, fourteen clear marbles, and twelve blue marbles in a bag. If she picks two marbles at random, without replacement, what is the probability that she will select a blue marble first, then a clear marble?

2. At a local restaurant, 55% of people order an appetizer to start while 25% order a salad to start. Also, 18% choose both an appetizer and a salad to start. What percentage of people order a salad or an appetizer to start?

3. The table below shows the gender and amount of time each person surveyed exercises each day.

Male
Female
Exercise for at least thirty minutes
82 Male
94 Female
Do not exercise
18 Male
46 Female

What is approximate probability that a person will be a female and exercise for at least thirty minutes each day?

4. A study was done about people that watch the Superbowl and World Series.

Did not watch the World Series
Did watch the World Series
Totals
Male
57 Did not watch
64 Did watch
121 Total
Female
43 Did not watch
36 Did Watch
79 Total
Totals
100
100
200

Are gender and watching the World Series Independent?

5. The volleyball team has a double-header on Friday. The probability that they will win both games is 38%. The probability that they will win just the first game is 70%, What is the probability that the team will win the second game given that they have already won the first game?

6. Suppose you are going to draw two cards from a standard deck. What is the probability that the first card is a Jack and the second card is an even card?

7. In a science class of twenty-eight students, 12 boys and 16 are girls. On a unit test, 4 boys and 10 girls made an A grade. A student is chosen at random from the class. What is the probability of choosing a boy or an A student?

8. A group of people are spinning a spinner that is separated into eight equal parts.
● Group One spins the spinner eight times.
● Group Two spins the spinner twenty times.
● Group Three spins the spinner eighty times.
Which group is most likely to be closest to the theoretical probability?

9. The table below shows the gender and amount of time each person surveyed exercises each day.

Male
Female
Exercise for at least thirty minutes
82 Male
94 Female
Do not exercise
18 Male
46 Female

What is P(do not exercise | male)?

10. The probability of eating pizza for dinner is 34% and the probability of buying a new car is 15%. The probability of buying a new car given that you eat pizza for dinner is 42%. What is the probability of eating pizza for dinner given that they buy a new car?

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