1. Four different people put their names in a bowl. No two people have the same name. Harry picks a name card randomly and places it back into the bowl. a. find the probability of picking Jenny's name card in two tries. b. find the probability of picking Jenny's name card first and Barry's name card after that.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
1. Four different people put their names in a bowl. No two people have the same name. Harry picks a name card randomly and places it back into the bowl.
a. find the probability of picking Jenny's name card in two tries.
b. find the probability of picking Jenny's name card first and Barry's name card after that.
2. There are 3 girls and 2 boys in a playgroup. Mrs. Simpson writes all their names on slips of paper and puts them in a bag. She randomly picks a name from the bag. Without returning the first name, she picks another name.
Find the probability that
a. the first child is a boy and the second child is a girl.
b. both children are girls.
c. both children are boys.
3. Linda has 2 purple counters, 5 green counters, and 3 yellow counters in a bag. She randomly picks a counter from the bag. Without returning the first counter, she picks another counter.
Find the probability that
a. the first counter is green and the second counter is yellow.
b. the first counter is purple and the second counter is green.
4. Four students are selected from a group of 6 to form a debate team. The students are Anna, Bernice, Chad, Dino, Ella, Farah. Two names are randomly selected to determine the students who are to be excluded from the team.
a. Find the probability that the first name selected is a boy's.
b. Given that the first name selected is Chad, find the probability that the second name selected is also a boy's.
c. Given that the first name selected is Anna, find the probability that the second name selected is a boy's.
5. A jar contains the number discs 5, 10, 15, 20, 25. Brosnan picks two number discs from the jar without looking. Find the probability that the number picked are both multiples of 10.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
