Assume that the coins are fair. If a sample point is the result of n tosses, assign a probability of (1/2)" to that sample point. Verify that the probability of the whole sample space is 1. Calculate the probability that the second toss results in heads.
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.
(b)
Given that the coin is fair
Therefore, the probability of head and tail for the coin is same which is .
The sample space for the a coin tossed is:
| Outcome | head | tails |
| Probability |
Determine the probability of whole sample space.
Therefore, it is verified that the probability of whole sample space is 1.
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