Sample Space &
The Addition Rule
The Addition Rule
The probability of both the first & last digit in a distinct 4 digit number being even from {1, 2, 3, 5, 8, 9}.
1/15
In a game of darts, the probability that he throws a dart into the Bull’s eye is 0.05. The probability that he throws the dart into the 10-point ring is 0.2. What is the probability that he either hits a Bull’s eye or scores 10 points?
0.25
The probability of event A is 0.73 and the probability of event B is 0.61. The probability of both is 0.4453. Are events A and B independent?
Yes they are independent because P(A and B)= P(A)*P(B)
A container holds 50 electronic components, of which 10 are defective. If 6 components are drawn at random from the container, the probability that at least 4 are not defective is __A__. If 8 components are drawn at random from the container, the probability that exactly 3 of them are defective is __B__.
A=0.91
B=0.147
Remember this on the test!
25/216
In a relay race, the probability of team A winning is 32%. In another unrelated relay race, the probability of team B winning is 37%. If the possibility of a tie is not an option, what is the probability of team A losing their race and team B winning theirs?
0.2516
Events M and N are not independent events. In this scenario, if P(M) = 0.4 and P(M and N) = 0.2, then P(N) cannot equal what?
0.5
Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. What is the probability that exactly 1 of the 4 marbles drawn is blue?
0.3535
A random number between 1-100 is picked. What is the probability the number is a multiple of 10?
1/10
Two friends each choose a slice of pizza with one topping. The available toppings are tomatoes (t), jalapenos (j), onions (o), mushrooms (m), and peppers (p). Use the Multiplication Counting Principle to find the total number of possible topping combinations chosen between the two friends. (You can make a sample space if needed).
What is...
5 toppings x 5 toppings = 25 combinations
If A and B are independent events, is this statement True or False?
P(A and B)=P(A)+P(B)
False
Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles. What is the probability that at least 1 of the 4 marbles drawn is white?
0.7455
There are two grocery stores in town. A survey shows 75% of the residence choose the first store, while 68% prefer the second store, and 58% visit both stores. What is the probability a residence shops at either the first OR second store?
85%
Draw a tree diagram for the following scenario.
t-shirts available in small, medium, large, and extra-large in Eastwood colors, blue and gold
How many combinations of shirts are there?
Blue: SB, MB, LB, EB
Gold: SG, MG, LG, EG
8 combinations
If P(A)=0.67 and P(A and B)=0.536, what does P(B) if A and B are independent?
0.8
A classroom has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade sit in the classroom. How many ways can the students be seated if all of the second-grade students occupy the first row?
2.432 x 10^18
An ice cream store sells chocolate, vanilla, or chocolate/vanilla twist ice cream. The probability of picking vanilla only is 0.3, chocolate only is 0.4, and twist is 0.2. What is the probability a customer will pick neither?
0.1
What is the probability of drawing a queen followed by a king, with replacement?
1/169
If A and B are dependent events, is this statement True or False?
P(B|A)!=(B)
True
A classroom has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade sit in the classroom. How many ways can the students be seated if all the first-grade students occupy the first 3 rows?
3.954 x 10^16