NEW
Font size
WorksheetsStatPro - Final Exam
Total questions: 70
Worksheet time: 12hrs 40mins
What are independent events?
If the outcome of one event does not affect the outcome of another
If the outcome of one event affects the outcome of another
Any one of the outcomes of one event does not affect the outcome of another
Any one of the outcomes of one event does affect the outcome of another
Find the probability of drawing a 10 from a standard deck of 52 cards.
4 out of 52
13/52
13 out of 52
4/52
Josh picks a marble at random, puts it back, and then picks another marble at random.
Dependent
Independent
Gian chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
Dependent
Independent
Timothy picks a card at random. Without putting the first card back, he picks a second card at random.
Dependent
Independent
The probability based on frequency of outcomes during an experiment is called _____________.
experimental probability
conditional probability
mutually exclusive event
dependent event
The outcome of one event does not influence the outcome of the other event.
independent event
tree diagram
simple event
odds
The outcome of one event does influence the outcome of the other event.
mutually exclusive event
dependent event
probability
simple probability
Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?
Yellow
Blue
Red
Green
Which event is not a dependent event?
Picking 2 students to each be line leader and door holder from a group of 20 students
Picking 2 crayons from a box at the same time (simultaneously)
Picking 2 marbles from a bag without replacing the first marble
Picking an earring, replacing it, then picking a 2nd earring
A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails?
4/26 + 1/2
4/25 x 1/2
4/26 x 1/2
4/25 + 1/2
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange AND green).
12/90
6/90
12/180
10/180
What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?
5/6
1/3
1/36
1/6
A magician is doing a card trick using a standard deck of cards. What is the probability that he will pull a jack, followed by a queen?
4/52 + 4/52
4/52 x 4/52
4/52 x 4/51
4/52 x 3/51
Each of the letters in MATHEMATICS are on separate cards, face down on a table. If you pick a card at random, and then another card without replacement what is the probability that both card will be a vowel?
7/110
7/21
12/21
12/110
There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?
324
4896
54
816
A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?
5/15 + 10/14
5/15 x 10/14
5/15 x 4/15
5/15 x 10/15
You flip a coin three times. Find the probability that all flips will land on tails.
1/2
1/6
1/4
1/8
Christine has two bags of marbles. In the bag labeled ‘A’, he has 3 green, 4 blue and 10 yellow marbles. In the bag labeled ‘B’, he has 13 green, 5 blue, and 12 yellow marbles. Christine wants the bag with the highest probability of selecting a blue marble. Which of the following statements is true?
It does not matter which bag he chooses because the probabilities are the same.
He should choose Bag A because the probability of selecting a blue marble is higher.
He should choose Bag B because there are fewer blue marbles.
He should choose Bag B because the probability of selecting a blue marble is higher.
What is the probability of flipping a coin and getting heads, given that the last flip was heads?
1/2
1/4
1/3
Never, Tails never fails.
Nadine is taking a multiple choice quiz with two questions. Each question has 5 possible solutions - a, b, c, d, e. Nadine has no idea what the right answers might be, so she takes a random guess for each answer. What are the chances that she gets both questions wrong?
16/25
50%
4/35
60%
Kathryn is taking a multiple choice quiz with two questions. Each question has 5 possible solutions - a, b, c, d, e. Kathryn has no idea what the right answers might be, so she takes a random guess for each answer. What are the chances that she gets at least one question right?
9/25
3/17
9/20
3/20
In an experiment, I draw a card at random from a standard deck of cards and then I draw a second card at random from a different deck of cards. What is the probability that both cards will be aces?
1/13
1/169
4/25
4/52
Rolling two number cubes
Independent Events
Dependent Events
Selecting playing cards from a deck without replacing
Independent Events
Dependent Events
Rolling a number cube, flipping a coin, picking a card
Independent Events
Dependent Events
Selecting two red marbles from a bag, if you throw them as you select
Independent Events
Dependent Events
Sir Lemar needs two students to help him with a science demonstration for his class of 18 girls and 12 boys. He randomly chooses one student who comes to the front of the room. He then chooses a second student from those still seated.
Independent Events
Dependent Events
One bag contains 7 red chips and 5 yellow chips. Another bag contains 5 red chips and 2 yellow chips. A chip is drawn from each bag. What is the probability that both chips are yellow?
25/84
5/12
1/6
5/42
Independent and mutually exclusive do mean the same thing.
True
False
Given the following VENN Diagram answer the following.
P( A | B )
2
0.6
0.4
0.8
P (A|B) = _____________________
P(A⋂B)/P(A)
P(A⋃B)/P(A)
P(A⋂B)/P(B)
P(A⋃B)/P(B)
Solve P(Sandals|Pants).
4/20
6/15
1/2
2/7
The weather forecaster predicted it will be 4/5 chance of rain for Monday and 2/3 chance of rain for Tuesday. What is the probability it will rain both days?
1/2
8/15
20/15
6/8
A math teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second?
59.5%
1.6%
10.5%
Not enough information
45% total of the children in a school have a dog, 30% total have a cat, and 18% have a dog and cat. What percent of those who have a cat also have a dog?
60%
40%
1.7%
24%
Solve P(Pizza|Senior).
10/15
2/3
4/5
10/5
Given the following VENN Diagram answer the following
P( B | A )
0.4
0.5
0.25
0.67
A result of an experiment is called an event.
True
False
A and B are mutually exclusive events if they can occur at the same time.
True
False
To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and multiply by the total number of outcomes in the sample space.
True
False
An outcome is in the event A OR B if the outcome is in A or is in B or is in both A and B.
True
False
The complement of event A is denoted A′ (read "A prime"). A′ consists of all outcomes that are in A.
True
False
P(A|B) is the probability that event A will occur given that the event B has already occurred.
True
False
If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.
True
False
If P(A) = 0.40 and P(A and B) = 0.05 are these events mutually exclusive?
Yes, they are mutually exclusive.
No enough information is given.
No, they are not mutually exclusive.
Rolling an odd number and rolling an even number on a normal six-sided die are ______________.
Mutually exclusive
Not mutually exclusive
Rolling a prime number and rolling an even number on a normal six-sided die are _______________.
Mutually exclusive
Not mutually exclusive
There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.
What is the probability of him not choosing a red rose?
12/20
8/20
8/12
5/12
On a multiple choice test, you encounter a set of 4 questions, each with 4 possible answer choices, that you have no idea how to answer. You decide to guess randomly on each of these questions and hope for the best. What is the probability that you get all four answers correct?
1/4
1/64
1/2
1/256
A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green?
3/10
9/10
4/10
None of the above.
What is the probability of rolling a die and landing on a 4, and then rolling the die again and landing on any even number?
1/6
1/2
1/8
1/12
A pair of dice is rolled.
Event 1: rolling a sum of 4
Event 2: rolling a double.
Are the events Mutually Exclusive?
YES
NO
A pair of dice is rolled.
Event 1: rolling a sum of 7
Event 2: rolling a sum of 11
Are the events Mutually Exclusive?
YES
NO
A pair of dice is rolled.
Event 1: rolling a sum that is even
Event 2: rolling a sum that is a multiple of 3
Are the events Mutually Exclusive?
YES
NO
A pair of dice is rolled.
Event 1: rolling a sum less than 5
Event 2: rolling a sum which is multiple of 5
Are the events Mutually Exclusive?
YES
NO
A pair of dice is rolled.
Event 1: rolling a sum which is a multiple of 3
Event 2: rolling a sum which is multiple of 5
Are the events Mutually Exclusive?
YES
NO
Shuffle a deck of standard cards
Event 1: pull a heart
Event 2: pull a Queen
Are the events Mutually Exclusive?
YES
NO
A bag contains 15 chips: 8 red and numbered 1 to 8, and 7 green numbered from 1 to 7.
Event 1: draw chip looking for even, replace
Event 2: draw chip looking for another even
Are the events Independent/Dependent?
Independent
Dependent
Event 1: A card is drawn from a deck of standard cards and withheld.
Event 2: a second card is drawn
Are the events Independent/Dependent?
Independent
Dependent
A box contains 20 black marbles and 5 red marbles.
Event 1: draw a red marble, not replaced
Event 2: draw a red marble
Are the events Independent/Dependent?
Independent
Dependent
A die is rolled.
Event 1: rolling an even number
Event 2: rolling an odd number
Are the events Independent/Dependent?
Independent
Dependent
A pair of coins are tossed.
Event 1: a heads is tossed.
Event 2: a heads is tossed.
Are the events Independent/Dependent?
Independent
Dependent
A drawer contains 3 red, 4 green, and 2 blue paperclips.
Event 1: draw a paperclip and keep it.
Event 2: draw another paperclip.
Are the events Independent/Dependent?
Independent
Dependent
A fair die is tossed.
Event 1: Roll a 4 or 5
The complement is roll a 1, 2, 3, or 6
True
False
What are complementary events?
Events that cannot happen at the same time
Events that are mutually exclusive and add up to 1 (or 100%)
Events that happen at the same time
What are mutually exclusive events?
Events that can happen at the same time
Events that cannot happen at the same time
Events that add up to 100%
What is the complement to: rolling an even number in a die?
Not rolling an even number (rolling an odd number)
rolling a 2,4,6
Rolling a number less than 4
The chance of rolling a 2 is 1/6. What is the chance of not rolling a 2 in die?
2/6
1/6
5/6
Not possible
If you are picking a card randomly from a deck of cards, the events of picking a spade and picking a diamond are mutually exclusive.
True
False
