Probability Station 1
Find the probability of each:
1. Rolling a 3
2. Drawing a red card
3. Flipping a coin and landing on heads 4. Drawing a black King
5. Create a two way table using the following information:
In a survey, 21 out of the 36 people that owned cars were female. 46 did not own a car and 27 males were surveyed.
6. Create a venn diagram using the following information:
70 people went to see a movie. 40 went to see Aquaman, 32 bought popcorn, and 5 did not see Aquaman or buy popcorn.
7. Create a venn diagram using the following information:
56 students were surveyed and the following were the results: 20 are in National Honor Society
Probability Station 2
There are 3 red marbles, 8 blue marbles, 5 yellow marbles, and 2 white marbles in a bag.
Find the probability of drawing:
1. A red marble
2. Two red marbles, without replacement
3. A red marble, then a blue marble, with replacement
4. Two blue marbles, then 2 yellow marbles, with replacement
Find the probability of drawing:
5. Drawing two red cards, without replacement 6. Drawing two kings, with replacement
7. Drawing A red card, then a black card, then a red card, without replacement
8. Rolling an even number 9. Rolling a 4 then a 5
10. Rolling two 4’s
11. Flipping a coin, landing on tails and rolling a 5 12. Flipping a coin and getting heads both times
13. Flipping a coin 4 times and getting tails every time
Probability Station 3
Find the probability of each:
1. Rolling a 3 or a 5
2. Drawing a red card or a King
3. Drawing a red card or a black card 4. Drawing a black king or a red jack
There are 3 red marbles, 8 blue marbles, 5 yellow marbles, and 2 white marbles in a bag.
Find the probability of:
5. Drawing a red or a yellow 6. Drawing a blue or a white
Find each probability:
7. You guess on a multiple choice test. What is the probability you get at least one of the questions correct?
8. The probability it snows on Saturday is 40%. The probability it snows on Sunday is 18%. Assume the two probabilities are independent of each other. What is the probability it does not snow on Saturday or Sunday.
9. The probability Ms. Ottaway goes to California for spring break is 37%. The probability she goes to Miami is 16%. What is the
Probability Station 4
1. Probability is a measure of how likely an event is to occur. Match one of the probabilities that follow with each statement about an event.
_____A. The probability of this is impossible. It can never occur. 1.) 0
_____B. This event is certain. It will occur on every trial 2.) 0.01
of the random phenomenon. 3.) 0.3
_____C. This event is very unlikely, but it will occur once 4.) 0.6
in a while in a long sequence of trials. 5.) -0.99
_____D. This even will occur more often than not. 6.) 1
2. If P(B) = 0.4 and P(A ∩ B) = 0.21, then find P(A) if A and B are independent.
3. Suppose P(A) = 0.35, P(B) = 0.51 and P(A ∩ B) = 0.17. Find
a) P(Ac) b) P ¿)
c) Are A and B independent events? Explain
4. Which of the following are true?
I. Two events are mutually exclusive if they can’t both occur at the same time. II. Two events are independent if they have the same probability.
III. An event and its complement have probabilities that always add to 1.
5. Of voters in a recent election, 57% were male, 64% were Democrat, and 35% were both male and Democrat. Are being male or
Probability Station 5
Highest Level of Educational Achievement Primary News
Source
Not High School Graduate
HS Graduate But
Not College College Graduate Total
Newspapers 49 205 188 442
Local television 90 170 75 335
Cable television 113 496 147 756
Internet 41 401 245 687
None 77 165 38 280
Total 370 1,437 693 2,500
1. What is the probability that a person’s primary new source is the internet?
2. What is the probability that a person is a college graduate?
3. What is the probability that a person’s primary new source is the internet or they are a college graduate?
4. What is the probability that a person’s primary news source is the internet and they are a college graduate?
5. What is the probability that a college graduate’s primary news source is the internet?
6. What is the probability that someone who uses the internet as their primary news source is a college graduate?
Probability Station 6
Expand each:
1. 4!
2. 9!
Condense each:
3. 5x4x3x2x1
4. 8x7x6x5x4x3x2x1
5. 11x10x9x8x7x6x5x4x3x2x1
Evaluate:
6. 3!5!
7. 2!+9!
8. 7!-5!
9. 214!7!!
10. 1620!5!!
Probability Station 7
Evaluate each permutation or combination:
6. A four-person committee is to be elected from an organization’s membership of 11 people. How many different committees are possible?
7. The ski club with ten members is to choose three officers captain, co-captain & secretary, how many ways can those offices be filled? 8. Seven bands have volunteered to perform at a benefit concert, but
there is only enough time for four of the bands to play. How many lineups are possible?
9. In a production of Grease, eight actors are considered for the male roles of Danny, Kenickie, and Marty. In how many ways can the director cast the male roles?
10. An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done? 11. There are 12 standbys who hope to get on your flight to Hawaii,
but only 6 seats are available on the plane. How many different ways can the 6 people be selected?
12. The company Sea Esta has ten members on its board of
directors. In how many different ways can it elect a president, vice-president, secretary and treasurer?
13. To win the small county lottery, one must correctly select 3 numbers from 30 numbers. The order in which the selection is made does not matter. How many different selections are possible?
