Probability of Outcomes problems
Coin Flip Outcome Probability example question
In an experiment, a coin is tossed until either the same side comes up twice in a row, or the coin has been tossed four times. How many outcomes are there?
a) 6
b) 8
c) 10
d) 16
e) this experiment never stops
f) none of the above
Solution to this Outcomes Probability practice problem is given in the video below!
Coin Flip: Unfair Toss Probability example problem
An unfair coin with P(H) = 0.9 is tossed independently 5 times. What is the probability that the first, third, and fifth tosses are Heads, and all the others are Tails?
a) 0.0243
b) 0.00243
c) 0.243
d) 0.0729
e) 0.00729
f) none of the above
Solution to this Outcomes Probability practice problem is given in the video below!
Unfair Die Toss Probability example
An unfair die is such that the outcomes 1, 2, 3, 5 are equally likely, 4 is half as likely as 2, and 6 is four times as likely as 5. What is the probability of having a 4?
a)
b)
c)
d)
e)
f) none of the above
Solution to this Outcomes Probability practice problem is given in the video below!
Coin & Die Toss Outcome Probability example question
In an experiment, a coin is tossed, and if the outcome is Heads, then a die is rolled. If the outcome is Tails, the experiment stops. How many outcomes are possible in this experiment?
a) 6
b) 7
c) 12
d) 14
e) 15
f) none of the above
Solution to this Outcomes Probability practice problem is given in the video below!
Choices of Pencil Colors Probability example problem
You have 4 white pencils and 6 grey pencils. You select two pencils at random. What is the probability that the two pencils are of the same color?
a)
b)
c)
d)
e)
f) none of the above
Solution to this Outcomes Probability practice problem is given in the video below!
Rule of Product Probability problems
Rule of Product Probability example question
A quiz contains one Algebra problem, one Geometry problem, and one Probability problem. There are 4 Algebra problems, 5 Geometry problems, and 2 Probability problems available to make the quiz. How many different quizzes are possible?
a) 20
b) 40
c)
d)
e) 10
f) none of the above
Solution to this Rule of Product Probability practice problem is given in the video below!
Permutations & Combinations problems
Permutation Probability example question
You are trying to form a unique string of three letters from the list {A, B, C, D, E} so that the first two letters are distinct. How many strings are there?
a) 10
b) 16
c) 14
d) 100
e) 125
f) none of the above
Solution to this Permutation Probability practice problem is given in the video below!
Combination Probability example problem
Four tennis players decide to play one “doubles” game each day (two players per team) until all possible combinations are used. How many days will they play?
a) 1
b) 3
c) 6
d) 12
e) 24
f) none of the above
Solution to this Combination Probability practice problem is given in the video below!
Combination Probability example
A Geometry class consists of 23 juniors and 44 sophomores. A committee of 5 students is chosen at random. What is the probability that no juniors are chosen?
a)
b)
c)
d)
e) 0
f) none of the above
Solution to this Combination Probability practice problem is given in the video below!
Combination Probability example question
A jury of five must decide whether Rick will pass his Probability class. In order for Rick to pass, at least four of the jurors must be in favor. In how many ways can Rick pass his class?
a) 16
b) 6
c) 5
d) 4
e) 32
f) none of the above
Solution to this Combination Probability practice problem is given in the video below!
Combination Probability example problem
You have 25 identical flowers in your garden, and you want to remove any 5 of them. In how many ways can you choose the flowers?
a) 252
b) 525
c)
d)
e)
f) none of the above
Solution to this Combination Probability practice problem is given in the video below!
Permutation-Combination example
You have 35 different pancakes to choose from. You want to order a stack of three pancakes. If you care about the ordering of the pancakes you get, how many choices are possible? (For example, raspberry/blueberry/pecan is different from raspberry/pecan/blueberry).
a)
b) 75
c) 353
d) 335
e)
f) none of the above
Solution to this Permutation-Combination Probability practice problem is given in the video below!
Permutation-Combination example problem #2
Calculate the maximum number of 3rd Great Grandparents each person has by using Factorials, Permutations and Combinations.
Solution to this Permutation-Combination Probability practice example is given in the video below!
Percent Probability problems
Probability with Percentages example question
A college survey shows that 10% of freshmen, 15% of sophomores, 60% of juniors, and 85% of seniors like Probability. Given that 30% of all students are freshmen, 30% are sophomores, 20% are juniors, and 20% are seniors, what percentage of all students in the college like Probability?
a) 0.635
b) 0.535
c) 0.465
d) 0.365
e) 0.235
Solution to this Percent Probability practice problem is given in the video below!
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