Compound Events
Theoretical/Experimental
Probability
Exclusive/Inclusive
Mixed Probability
100
A ________ _________ consists of two or more events.
compound event
100
The _________ probability always has the total number of possible outcomes in the denominator.
Theoretical
100
Ike has 12 shirts. He has 5 blue shirts, 2 green shirts, 4 white shirts, and 1 red shirt. Find P(blue shirt).
5/12
100
If you draw one card from a standard deck, what is the probability of drawing a spade or a red card? Are the events inclusive or mutually exclusive?
Mutually exclusive
100
Find the geometric probability of a marble falling on the shaded region of the figure.
50%
200
What is an independent event?
The occurance of one event does not affect the probability of the occurance of the other.
200
What is experimental probability?
Probability based on experimental data or observations.
200
You flip two coins. Show your sample space and find P(heads first).
P(heads first) = 2/4 = 1/4 , HH, HT, TH, TT
200
Is the following mutually exclusive or inclusive?
The probability of drawing a queen or a diamond from a standard deck of cards.
inclusive
200
Tyler flipped a coin 30 times. Her results are: Heads: 17 Tails: 13 What is the experimental probability of flipping tails?
13/30
300
What is a dependent event?
The occurance of one event affects the probability of the occurance of the other event.
300
You attempt 15 free throws in a basketball game. You miss 6 and make 9. What is the experimental probability of making a free throw?
P(free throw) = 9/15 = 3/5
300
There are 12 marbles in a bag. 7 are red and 5 are blue. What is P(blue, then red) without replacement?
3/12 x 7/11 = 35/132
300
Which of the following shows how to determine P(diamond or face card)?
13/52 + 12/52 - 3/52
300
You have 8 marbles. 3 are red, 4 green, 1 yellow. There is no replacement. Find P(red, then yellow).
3/8 x 1/7 = 3/56
400
If you choose 2 numbers out of a hat, but put the first number back before choosing the second number. Is this an independent or dependent event?
Independent
400
What is the theoretical and experimental probability of spinning a spinner and it landing on green? Use the given table. Green6 Yellow3 Orange5 Blue 1
Experimental: 6/15 = 2/5 Theoretical: ΒΌ
400
Nolan is eating a pack of skittles. This pack has 2 green, 3 red, 6 purple, 3 yellow, and 1 orange skittle. However, Nolan does not like purple skittles. Find P(not purple).
9/15 = 3/5
400
The enrollment at Southburg High School is 1400. Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra. What is the probability that a student selected randomly takes French or algebra?
17/28
400
McDonalds is having a special that you can get a drink, burger, and a desert for $1. You can choose from 3 drinks, 4 burgers, and 2 deserts. How many outcomes are possible?
24
500
You select a card out of a bucket that contains 26 cards lettered A-Z without looking. Without replacing the first card, you select a second. Find the probability of choosing L and then K. Is this dependent or independent?
1/650, Dependent
500
Crash rolls a dice ten times. What is the experimental and theoretical probability of rolling a 4? Compare the two. 10 21 35 4 2 51 61
Experimental: 2/6 = 1/3 Theoretical: 1/6 Experimental > Theoretical
500
Holden is playing with a deck of cards. What is the probability of Holden drawing a Queen out of the deck? Give fraction, decimal (round to the nearest tenth), and percentage. *Hint: There are 52 cards in a deck and 4 cards in each suit.
4/52 = 2/26 = 1/13, .08, 7.69%
500
Which of the following shows how to determine P(skateboard or rollerblades)?
48/100 + 42/100 - 39/100
500
You have a set of 16 cards numbered 1-16. You select a card and put it back into the set. Then you select another card. Find P(even, then 6) and tell whether this is independent or dependent.
1/32, independent