If you are randomly sampling one at a time with replacement from a bag that contains eight blue marbles, seven red marbles, and five green marbles, what is the probability of obtaining: A blue marble in one draw from the bag? Three blue marbles in three draws from the bag? A red, a green, and a blue marble in that order in three draws from the bag? At least two red marbles in three draws from the bag? You are planning to make a “killing” at the race track. In a particular race, there are seven horses entered. If the horses are all equally matched, what is the probability that you will correctly pick the winner and the runner-up?
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.
- If you are randomly sampling one at a time with replacement from a bag that contains eight blue marbles, seven red marbles, and five green marbles, what is the
probability of obtaining: - A blue marble in one draw from the bag?
- Three blue marbles in three draws from the bag?
- A red, a green, and a blue marble in that order in three draws from the bag?
- At least two red marbles in three draws from the bag?
- You are planning to make a “killing” at the race track. In a particular race, there are seven horses entered. If the horses are all equally matched, what is the probability that you will correctly pick the winner and the runner-up?
(a) Total no. of marbles = 8+7+5 = 20
P(drawing a blue marble) =
P(drawing a red marble) =
P(drawing a green marble) =
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