Eight balls numbered from 1 to 8 are placed into a bag. Some are grey and some are white. The balls numbered 3 and 6 are grey. The balls numbered 1, 2, 4, 5, 7, and 8 are white. A ball is selected at random. Let X be the event that the selected ball is white, and let P(X) be the probability of 567 X. Let not X be the event that the selected ball is not white, and let P(not X) be the probability of not X. a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
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.
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O PROBABILITY
Probabilities of an event and its complement
Eight balls numbered from 1 to 8 are placed into a bag.
Some are grey and some are white.
The balls numbered 3 and 6 are grey.
The balls numbered 1, 2, 4, 5, 7, and 8 are white.
A ball is selected at random.
Let X be the event that the selected ball is white, and let P(X) be the probability of
X.
Let not X be the event that the selected ball is not white, and let P(not X) be the
probability of not X.
(a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event.
Outcomes
Event
Probability
1
2.
4
6
8
O00O
ololo
P(x) = ]
0000 P(not X) = ]
not X
(b) Subtract.
Explanation
Check
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![00 P(not x) 0
not X
(b) Subtract.
1-P(x) - ]
(c) Select the answer that makes the sentence true.
1-P(X) is the same as (Choose one)
Explanation
Check
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Given Information:
There are 8 balls in the bag numbered 1 to 8.
2 balls are Grey and 6 balls are White.
Grey colour balls are 3, 6
White colour balls are 1, 2, 4, 5, 7 and 8.
Let denote the event that the selected ball is White and be the probability of .
Let denote the event that the selected ball is not white and be the probability of .
(a)
For event X: 1, 2, 4, 5, 7, 8 are checked.
And
For event 'not X' : 3, 6 are checked.
And
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