Compound Events
This type of event consists of two or more events.
compound event
This kind of probability always has the total number of possible outcomes in the denominator.
Theoretical
Ike has 12 shirts. He has 5 blue shirts, 2 green shirts, 4 white shirts, and 1 red shirt.
P(blue shirt) =
5/12
In a deck of cards, it's the relationship between the two events "Drawing a red" and "Drawing a spade"
Mutually exclusive
Calculating the likelihood of an event occurring based on the properties of shapes, such as length, area, or volume.
Hint: Geometry Question
Geometric Probability
The knowledge of one event does not affect the probability of the other. A and B are this.
Independent Events?
Probability based on experimental data or observations.
What is experimental probability?
The sample space when you flip two coins.
HH, HT, TH, TT
In a deck of cards, it's the relationship between the two events "drawing a queen" and "drawing a diamond."
Mutually Inclusive
Tyler flipped a coin 30 times. Her results are: Heads: 17 Tails: 13
The experimental probability of flipping tails?
13/30
The knowledge of one event does affect the probability of the other. A and B are this.
You attempt 15 free throws in a basketball game. You miss 6 and make 9. The experimental probability of making a free throw.
P(free throw) = 9/15 = 3/5
There are 12 marbles in a bag. 7 are red and 5 are blue. P(blue, then red) without replacement =
3/12 x 7/11 = 35/132
When two events don't share any outcomes.
Mutually Exclusive
You have 8 marbles. 3 are red, 4 green, 1 yellow. There is no replacement.
P(red, then yellow).
3/8 x 1/7 = 3/56
Independent
A spinner has 9 sections of all different colors. The odds that the spinner does not land on red.
8/9
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.
P(not purple) =
9/15 = 3/5
The enrollment at Southburg High School is 1400. Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra.
The probability that a student selected randomly takes French or algebra.
17/28
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.
P(even, then 6).
1/32
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. The probability of choosing L and then K.
1/650
Crash rolls a 10 dice ten times. The probability of rolling a 4, three times in a row
1/1000
Holden is playing with a deck of cards. The odds of drawing any type of this are 13/52.
Suits
It's the type of diagram with circles to represent the probability of compound events.
Venn Diagrams
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.
P(Even|Prime) = 1/6. P(Even) = 1/2. The two events must have this relationship.
Dependent.