Can someone with my integrated math quizzes?

quiz 1
question 1
in a deck of 52 playing cards, there are 4 queens. what is the probability that if you cut the deck, you’ll get a queen? reduce the fraction to its simplest form.

1/16

1/13

1/4

1/2
1 points
question 2
in a deck of 52 playing cards, there are 4 fives and 4 sixes. what is the probability that if you cut the deck, you’ll get a five or a six? round your answer to the hundredths place.

0.08

0.15

0.23

0.31
1 points
question 3
in a deck of 52 playing cards, there are 13 different cards in the deck that are hearts. what is the probability that if you cut the deck, you’ll get a heart?

10%

15%

25%

33%
1 points
question 4
there are six numbers on a normal die. what is the probability that if you roll the die, you’ll get a 2? reduce the fraction to its simplest form.

1/6

1/4

1/3

1/2
1 points
question 5
there are six numbers on a normal die. what is the probability that if you roll the die, you’ll get a 1 or a 2? reduce the fraction to its simplest form.

1/6

1/4

1/3

1/2
1 points
question 6
there are six numbers on a normal die. what is the probability that if you roll the die, you’ll get a number less than 3?

0.333

0.5

0.667

0.75
1 points
question 7
there are 6 numbers on a normal die. what is the probability that if you roll a pair of dice, you'll get the sum of 20?

0

1/4

1/6

1/100
1 points
question 8
if we toss a coin 40 times, then heads will necessarily appear exactly 20 times.

true

false
1 points
question 9
we toss two dice 1,000 times. how many times do we expect to have the sum of the two dice equal to 4?

about 250

about 167

about 83

about 42
1 points
question 10
if we toss a coin 40 times, then we expect that heads will appear 20 times.

true

false
1 points
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hw 2
question 1
we perform the experiment "toss three coins". then the events "no heads appear" and "exactly 1 head appears" are equally likely.

true

false
1 points
question 2
we toss three coins. what is the probability of the event "3 heads appear"?

1/4

3/8

1/8

1/2
1 points
question 3
we perform the experiment "toss two dice". what is the probability of the event "the sum of the faces equals 5"?

5/36

1/36

1/6

1/9
1 points
question 4
we perform the experiment "toss two dice". what is the probability of the event "no 3 appears on either face"?

10/36

11/36

1/36

25/36
1 points
question 5
if you toss a pair of dice 1,000 times, how many times would you expect to get a sum of 12 as the result?

about 12 times

about 27 times

about 36 times

about 100 times
1 points
question 6
if you toss 3 coins 10,000 times, how many times would you expect that exactly 2 heads appear?

3

10,000

3,750

2,500
1 points
question 7
a random sample of 150 people are asked if they own dogs, and 57 of them say yes. what would you estimate the percentage of dog owners to be in this population?

57%

38%

50%

65%
1 points
question 8
there are two types of ice cream cones - strawberry and peach. you and 24 of your closest friends are going to buy ice cream cones. if 15 people buy strawberry cones and 20 people buy peach cones, how many people bought both strawberry and peach cones?

no less than 25 people

no less than 10 people, no more than 15 people

10 people

15 people
1 points
question 9
a math teacher gave her class two tests. twenty-five percent of the class passed both tests and 42 percent of the class passed only the first test. what percent of the students who passed the first test also passed the second?

25%

40%

60%

67%
1 points
question 10
the probability that it is friday and that a student is absent is 0.03. since there are five school days in a week, the probability that it is friday is 0.2. what is the probability that a student is absent given that today is friday?

0.15

6.67

0.23

0.30
1 points
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