Dependent or Independent
Mutually Exclusive or Overlapping events
Probability
Probability Table
Odds
Terms/Definitions
100
A) Are the following events independent or dependent?
You pick a card out from a standard deck and then flip a coin.
B) What is the probability of picking a red card and getting a heads?
A) Independent
B) 1/4
P(AandB)= P(A) * P(B)= 26/52 * 1/2=26/104=1/4
100
Two events that cannot happen simultaneously are...
mutually exclusive
100
A bowl contains four apples, three bananas, three oranges, and two pears. If one piece of fruit is selected at random, what is the probability of selecting an orange?
3/12=1/4
100
What is the probability of wearing jeans?
P(Jeans)= ____
1/2
100
What are the odds of choosing a diamond from a standard deck of cards?
P(s)= 13/52=1/4
100
The arrangement of objects in a certain order is called a:
a. Permutation b. Combination
a. Permutation
200
The probability of selecting a red marble, not replacing it, then selecting a green marble from a box of 6 red and 2 green marbles
A) Are these events dependent or independent?
B) Determine the probability
A) Dependent
B) 6/8 * 2/7 = 12/56=3/14
200
At a local high school, 34% of the students take a bus to school and 56% of the students walk to school. Find the probability of randomly selecting a student that takes a bus or walks to school and determine if these events are mutually exclusive or overlapping event?
34/100 + 56/100 = 90/100 or 90%
P(AorB)= P(A)+ P(B)
mutually exclusive
200
What is the probability of selecting a yellow or blue marble from a box of 5 green, 3 yellow, and 2 blue marbles?
P(yellow or blue)= P(yellow) + P(blue) = 5/10=1/2
200
What is the probability of wearing a white shirt and black pants?
P(White Shirt and Black Pants)= ____
1/6
200
Two number cubes are tossed. What are the odds that they show a sum greater than 9?
6/36=1/6 (5,5)(4,6)(6,4)(5,6)(6,5)(6,6)
200
the set of all possible outcomes of an event is called
sample space or tree diagram
300
You pick a card out of a deck, put it back, then pick another card
Are these events independent or dependent?
Independent
300
A card is drawn from a standard deck of cards. What is the probability of drawing a Jack or a Heart?
A) Are these events mutually exclusive or overlapping?
B) Determine the probability of the event
A) Overlapping event
B) 4/52 + 13/52 - 1/52 =16/52= 4/13
300
What is the probability of rolling two dice and getting a sum greater than 10
(5,6), (6,5), or (6,6)
3/36= 1/12
300
What is the probability of picking Rice or Shrimp?
P(Rice or Shrimp) = _____
5/9
300
What is the probability of tossing 3 heads when three coins are tossed?
1/2*1/2*1/2=1/8
300
Events that can not happen at the same time are
mutually exclusive
400
You flip a coin and then flip the same coin again.
A) Are these events independent or dependent?
B) Find the probability of getting two heads
A) Independent
B) 1/2 * 1/2= 1/4
400
On a school board, 2 of the 4 female members are over 40 years of age, and 5 of the 6 male members are over 40. If one person did not attend the meeting, what is the probability that the person was a male or a member over 40?
4/5
P(male or over 40)= P(male) + P(over 40) - P(male and over 40) = 6/10+ 7/10 - 5/10= 8/10= 4/5
400
A bag contains 3 black, 5 green, and 4 yellow marbles.
What is the probability that 2 marbles selected a random will both be black?
P(2 black marbles)= 3/12*2/11=6/132= 1/22
400
What is the probability that a randomly chosen student walks to school?
9/50
400
If two marbles are selected at random from a bag containing 6 red and 4 blue marbles, find the odds that both marbles are red.
P(both red)= 6/10*5/9=30/90= 1/3
400
What is an overlapping event?
it is where an event has something in common that you need to subtract.
500
The probability of randomly selecting two dimes from a bag containing 10 dimes and 8 pennies if the first selection is replaced(with replacement)
A) Are these events independent or dependent?
B) Determine the probability of selecting two dimes
A) Independent
B) 10/18 * 10/18 =100/324= 25/81
500
The probability of selecting a card from a standard deck of cards and the card is a 10 or an ace
A) Determine if the event is mutually exclusive or overlapping and
B)Determine the probability
A) Mutually exclusive
B) 4/52 + 4/52= 8/52 = 2/13
500
Find the probability of randomly selecting 3 red pencils from a box containing 5 red, 3 blue, and 4 green pencils
5/12*4/11*3/10=60/1320=1/22
500
What is the experimental probability of landing on green or blue?
3/8
500
Two dice are tossed. What are the odds of getting a sum of 7 when two number cubes are tossed?
6/36=1/6 (3,4)(4,3)(2,5)(5,2)(1,6)(6,1)
500
It is a subset of the sample space that describes an occurrence.
Event
600
There are two traffic lights along the route that Ms. Bella drives from home to work. One traffic light is red 50% of the time. The next traffic light is red 60% of the time. The lights operate on separate timers. Find the probability that these lights will both be red on Ms. Bella's way home from work.
A) Are these events independent or dependent?
B) Determine the probability that both lights will be red
A) Independent
B) 50/100 * 60/100 = 3/10 or 30%
600
A card is selected from a standard deck of cards. What is the probability of selecting an Ace or a black card?
A) Are these events mutually exclusive or overlapping?
B) Determine the probability
A) Overlapping event
B) 4/52 + 26/52 - 2/52 = 28/52 = 7/13
600
A survey of the junior class at SPF high school shows that 2/5 of the students who have home computers use them for word processing, 1/3 use them for playing games, and 1/4 use them for both word processing and playing games. What is the probability that a student with a home computer uses it for word processing or playing games?
29/60
P(AorB)= P(A) + P(B) - P(AandB)
P(AorB)= 2/5 + 1/3 - 1/4
= 24/60 + 20/60 - 15/60=29/60
600
Given a student walks to school is chosen. What is the probability that the student doesn't have a locker?
11/36
600
You pull out one card from a standard 52 card deck. What is the probability of picking a red card or a three?
26/52+4/52-2/52=28/52=7/13
600
This is where order is not important
a. Combination b. Permutation
a. Combination
700
Jack had 4 Snicker bars and 8 Mars bars. He randomly chose a piece of candy, ate it, then chose another.
A) Are these events Dependent or Independent?
B) What is the probability that both candy bars were snickers?
A) dependent
B) 4/12 * 3/11=12/132= 1/11
700
On a spinner labeled with numbers 1-10, where each number is equally likely to be spun, determine the probability of spinning an odd number or a multiple of 3
P(odd) = 5/10
P(multiple of 3) = 3/10
P(odd and multiple of 3)= 2/10
5/10 + 3/10 - 2/10 = 6/10 = 3/5
700
The probability of two independent events occurring is 1/18. If the probability of one event is 1/3, find the probability of the other event
1/6
P(AandB)= P(A) * P(B)
1/18= 1/3 * x
x= 3/18 or 1/6
700
What is the probability of having a locker or walking to school?
9/20
700
Ms. E was planning a trip to the beach on Saturday but the weather forecast states that the chance of rain on Saturday is 65%. What is the probability that it won't rain on Saturday?
P(no rain)= 35/100
700
What is the formula for conditional probability:
P(B|A)?
P(B|A)=P(A and B)/P(A)