Tenth Grade (Grade 10) Represent and Determine Probability Questions for Tests and Worksheets

Select All Questions

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.2

Jason likes to play hockey and bets a friend that he can score 6 goals in a row. The probability of him making a shot is 0.18. What is the probability that he will make 6 goals in a row?

$0.18xx10^-6$
$1.08$
$4.3xx10^-7$
$3.4xx10^-5$

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

Residents of two different neighborhoods within a city were asked what their favorite sport is, basketball or soccer, with the results in the two-way table below. Is living in Leaside independent of someone's favorite sport, and why or why not?

	$"Soccer"$	$"Basketball"$	$\mathbf{ Total}$
$"Leaside"$	$51$	$26$	$77$
$"Danforth"$	$15$	$8$	$23$
$\mathbf{Total}$	$66$	$34$	$100$

No, they are not independent, because a different number of people chose each sport.
No, they are not independent, since P(Basketball) $!=$ P(Leaside | Basketball).
Yes, they are independent, because P(Soccer | Leaside) $~~$ P(Soccer) and P(Leaside | Soccer) $~~$ P(Leaside).
Yes, they are independent, since P(Soccer and Leaside) $~~$ P(Soccer) $xx$ P(Leaside) and P(Basketball and Leaside) $~~$ P(Basketball) $xx$ P(Leaside).

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.3

Adam has a bag of ten marbles, of which 3 are green, 3 are blue, and 4 are red. He also has a regular six-sided die. He lets choosing a blue marble be event A, and throwing a 5 or 6 when rolling the die be event B. Which of the following statements are correct? There may be more than one correct answer.

P(A) = P(A|B), since events A and B are independent.
P(A and B) = 0.1, since A and B are independent.
P(A|B) = P(B|A), since events are independent.
P(A|B), P(B|A) cannot be determined since not enough information has been given to determine P(A and B).

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.8

Given a 12-sided die, with the numbers 1 through 12 on the sides, what is the probability that a prime number is rolled, given that the roll is a factor of 60? Choose the answer that correctly represents this.

$(1/4)/(3/8)$
$(1/4)/ (5/12)$
$(3/5 * 5/12) / (2/3)$
$(3/8 * 2/3) / (5/12)$

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.6

An integer is randomly chosen from the following number line. Given that the number lies on

$bar{AD}$ , what is the probability that it also lies on

$bar{CF} ?$

8/8
1/2
8/11
5/8

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

This question is a part of a group with common instructions. View group »

What is the conditional probability that someone who prefers Spoon's Diner eats out between 6 a.m. and 2 p.m.?

0.28
0.36
0.55
0.65

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.8

Given that P(A and B) = 0.14, P(A) = 0.55, and P(B) > P(B|A), what is P(A|B)?

0.25
0.08
0.55
Not enough information.

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.7

Haley is collecting coins. She specifically likes to look for older coins or coins from other countries. Knowing this, her friend Andy decides to bring her a bag of coins he found in his grandfather's attic that nobody in his family wanted. There are 20 coins in the bag. Recently Haley read that, for most coin collections, 20% of the coins are from foreign countries and 70% are from the year 1932 and before. Assuming that this information is correct, she reasons that there are about 18 coins which she really wants (that are old or from a foreign country). Is she correct?

Yes, she took both percentages, added them together, and then multiplied by 20.
No, she doesn't know how many of the foreign coins are from before 1932, which would reduce the number of coins she wants to keep.
No, she needs to multiply these percentages. Therefore, there are only about 3 coins she would want to keep.
No, only one of the percentages applies. In order to not miss any coins she might want, she should go with the greater percentage, 70%. Therefore, she will keep about 14 coins.

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.2

A girl wants to win a prize for shooting 9 baskets in a row from the free throw line. The probability of her making a shot is 0.2. What is the probability that she will make 9 shots in a row?

$0.2xx10^-9$
$1.8$
$5.1xx10^-7$
$7.2xx10^-1$

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.6

An integer is randomly chosen from the following number line. Given that the number lies on

$bar{AD}$ , what is the probability that it also lies on

$bar{BC}$ ?

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

This question is a part of a group with common instructions. View group »

What is the probability that someone chosen at random eats out at a diner between 2 p.m. and 10 p.m.?

0.60
0.45
0.35
0.24

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.2

Find P(red, odd number) if you spun both spinners.

$1/6$
$4/18$
$1/4$
$12/16$

Grade 10 Represent and Determine Probability CCSS: HSS-MD.A.1

What is the sample space of a fair 12 sided dice?

{1, 2, 3, 4, 5, 6}
{1, 12}
{2, 4, 6, 8, 10, 12}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Grade 10 Represent and Determine Probability CCSS: HSA-CED.A.3

Of the 200 students at college T majoring in one or more of the sciences, 130 are majoring in chemistry and 150 are majoring in biology. If at least 30 of the students are not majoring in either chemistry or biology, then the number of students majoring in both chemistry and biology could be any number from

20 to 50.
40 to 70.
50 to 130.
110 to 130.

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.7

In an experiment, two non-mutually exclusive events are labeled events A and B. If P(A) = 0.36, P(A and B) = 0.14, and P(B|A) = 0.39, what is P(A or B)?

0.61
0.22
0.58
No enough information.

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

The following two-way table shows how many people own a truck versus a car, and of these people, which type of bread they normally eat. There are 4 numbers missing, starting with the value for those who own a car and eat whole wheat bread, those who own a truck and eat whole wheat bread, the total number of people who own a car, and the total number of people who own a truck. Which of the following answers, with numbers listed in the same order as just mentioned, would make owning a car or truck independent of eating white or whole wheat bread?

	$"Car"$	$"Truck"$	$\mathbf{ Total}$
$"White Bread"$	$13$	$17$	$30$
$"Whole Wheat Bread"$			$45$
$\mathbf{Total}$			$75$

10, 35, 23, 52
14, 31, 27, 48
19, 26, 32, 43
24, 21, 37, 38

Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

This question is a part of a group with common instructions. View group »

Is going to Spoons Diner independent of eating out between 2 p.m. and 10 p.m.? Why or why not? There may be more than one correct answer.

The probability that someone eats out between 2 p.m. and 10 p.m. is 0.45. The probability that someone likes Spoons, given that they eat out between 2 p.m. and 10 p.m. is 0.28. Because these are not equal, the two events are not independent.
The probability that someone like's Spoons is 0.36, while the conditional probability that someone prefers Spoons given that they eat between 2 p.m. and 10 p.m. is 0.28. Since these are not equal, the events are not independent.
The probability that someone eats out between 2 p.m. and 10 p.m. is 0.45. The conditional probability that someone eats out between 2 p.m. and 10 p.m. given that they prefer Spoons is 0.35. Since these are no equal, the events are not independent.
Because the probability that someone prefers Spoons is 0.36, and this is almost equal to the conditional probability that someone eats out between 2 p.m. and 10 p.m. given that they like Spoons (which is 0.35), the events are independent.

Grade 10 Represent and Determine Probability CCSS: HSA-CED.A.2

Bag P contains silver coins and gold coins in the ratio 5:3.
Bag Q contains silver coins and gold coins in the ratio 3:2.
The number of coins in Bag P to the number of coins in Bag Q is in the ratio 2:1.
What is the smallest number of coins in each bag?

Bag P: 25 silver, 15 gold ; Bag Q: 12 silver, 8 gold
Bag P: 34 silver, 14 gold ; Bag Q: 10 silver, 7 gold
Bag P: 25 silver, 10 gold ; Bag Q: 12 silver, 18 gold
Bag P: 20 silver, 10 gold ; Bag Q: 12 silver, 9 gold

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.8

Given that P(A) = 0.71, P(B) = 0.22, and P(A|B) = 0.13, what is P(A and B)?

0.03
0.04
0.09
0.42

Grade 10 Represent and Determine Probability CCSS: HSS-CP.B.8

Given that P(A) = 0.61, P(B) = 0.33, and P(A|B) = 0.09, what is P(B|A)?

0.17
0.05
0.27
0.20

Share/Like This Page

Filter By Grade

Browse Questions

Arithmetic and Number Concepts

Function and Algebra Concepts

Geometry and Measurement

Mathematical Process

Statistics and Probability Concepts

Bar Graphs

Circle Graphs

Collecting and Interpreting Data

Combinations and Permutations

Range, Median, Mean, and Mode

Represent and Determine Probability

Scatter Plots

Trigonometry

Tenth Grade (Grade 10) Represent and Determine Probability Questions