00 Tiles are categorized as per color (Red, White, Blue) and as per size (Small, Medium, Large) by the following Table: Red White Blue Small 10 15 5 Medium 15 10 15 Large 5 20 5 A tile is selected at random. Find the probability that it is Medium or Red. ____________ Find the probability that it is Small and White ___________ Find the probability that it is neither Large nor Blue ____________ Find the probability that it is Red or Blue and not Medium _____
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.
100 Tiles are categorized as per color (Red, White, Blue) and as per size (Small, Medium, Large) by the following Table:
|
|
Red |
White |
Blue |
|
Small |
10 |
15 |
5 |
|
Medium |
15 |
10 |
15 |
|
Large |
5 |
20 |
5 |
A tile is selected at random.
- Find the
probability that it is Medium or Red. ____________ - Find the probability that it is Small and White ___________
- Find the probability that it is neither Large nor Blue ____________
- Find the probability that it is Red or Blue and not Medium ________
Given data,
| Red | White | Blue | Total | |
| Small | 10 | 15 | 5 | 30 |
| Medium | 15 | 10 | 15 | 40 |
| Large | 5 | 20 | 5 | 30 |
| Total | 30 | 45 | 25 | 100 |
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