(Direction 1 - 3)Write down the correct answers. Each question carries...
Binomial Distribution in ODI Matches between India and Pakistan
Explanation:
Binomial distribution is a type of probability distribution that deals with the outcomes of a specific event or experiment that can only result in two possible outcomes, such as success or failure, heads or tails, etc. In the case of ODI matches between India and Pakistan, the possible outcomes can be either India wins or Pakistan wins. Therefore, the result of ODI matches between India and Pakistan follows a binomial distribution.
The following points explain why ODI matches between India and Pakistan follow a binomial distribution:
1. Two Possible Outcomes: As mentioned earlier, the possible outcomes in ODI matches between India and Pakistan are either India wins or Pakistan wins, which is a classic example of binomial distribution.
2. Fixed Number of Trials: In ODI matches, the total number of overs is fixed, and the number of wickets is limited to ten. Therefore, the number of trials is fixed, and each trial is independent of the other.
3. Equal Probability of Success and Failure: In ODI matches, both teams have an equal chance of winning the match. Therefore, the probability of success (India wins) and failure (Pakistan wins) is the same.
4. Independent Trials: In ODI matches, each ball bowled, each catch, each run scored, and each wicket taken is an independent event. The result of the previous ball does not affect the outcome of the current ball.
Therefore, we can conclude that the result of ODI matches between India and Pakistan follows a binomial distribution.
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