7.1
Define the sample space,S, of a fair coin being tossed once
S = {H,T}
A card is selected from a standard deck of cards. What is the probability that the card is a diamond and a seven?
1/52 = 1.92 %
The cheerleading squad is made up of 12 girls. A captain and a co-captain are selected at random. What is the probability that Chantelle and Clover are chosen as leaders?
12!/(12-2)! = 12!/10! = 132
A dye is rolled while a game is being played. The result of the next role is a six or an even number. Determine whether the events are mutually exclusive or not mutually exclusive.
A numbered spinner with six equal parts is spun once. What is the sample space of the experiment?
S = {1,2,3,4,5,6}
Carmela purchased 10 raffle tickets. If 250 were sold, what is the probability that one of Carmela's tickets will not be drawn?
240/250 = 96%
Taryn has 15 soccer trophies but she only has room to display nine of them on a shelf. If she chooses them at random, what is the probability that each of the trophies from the school invitational from the 1st through the 9th grades will be chosen?
15! / (15-9)! x 9! = 5005
What sport did Mr. Friesz play in college?
Football
On a website showcasing outdoor patio plans, there are four types of stone, three types of edging, five dining sets, and six grills. Kamar plans to order one item from each category. How many different patio sets can Kamar order
4 x 3 x 5 x 6 = 360 sets
What year did Mr. Friesz graduate from high school?
2022
Phyllis drops a penny in a pond and then she drops a nickel in the pond. What is the probability that both coins land with tails showing?
1/2 x 1/2 = 1/4
If the chance of making a green light at a certain intersection is 35%, what is the probability of arriving when the light is yellow or red?
P(Y or R) = 1-.35= 65%
Where did Mr. Friesz graduate high school?
Flasher High School
What is the probability of spinning a spinner numbered 1-6 and not landing on a 5?
5/6 = 83.3%
The forecast predicts a 40% chance of rain on Tuesday and a 60% chance on Wednesday. If these probabilities are independent, what is the chance that it will rain on both days?
.4 x .6 = 24 %
A card is randomly drawn from a standard deck of 52 cards. What is the probability that the card is a king of diamonds, given that the cardP drawn is a king?
P(K and D)/P(K) = 1/52 / 4/52 = 1/4 = 25%