(f) Abu invites Alia to play a game. Abu spins a fair coin with one side labelled with number 2 and the other side labelled with number 5. Alia then chooses one of the dice (either blue or red) and rolls it. If the number appears on the die is greater than the number appears on the coin, Alia wins, otherwise Abu wins. Find the probability that Alia wins the game, stating clearly which die she use in each case.
(f) Abu invites Alia to play a game. Abu spins a fair coin with one side labelled with number 2 and the other side labelled with number 5. Alia then chooses one of the dice (either blue or red) and rolls it. If the number appears on the die is greater than the number appears on the coin, Alia wins, otherwise Abu wins. Find the probability that Alia wins the game, stating clearly which die she use in each case.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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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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Transcribed Image Text:4
6.
P(R = r)
2/3
1/6
1/6
(f)
Abu invites Alia to play a game. Abu spins a fair coin with one side labelled with number 2
and the other side labelled with number 5. Alia then chooses one of the dice (either blue or
red) and rolls it. If the number appears on the die is greater than the number appears on the
coin, Alia wins, otherwise Abu wins.
Find the probability that Alia wins the game, stating clearly which die she use in each case.
Transcribed Image Text:QUESTION 4
A fair blue die has faces numbered 1, 1, 3, 3, 5 and 5. The random variable B represents the score
when the blue die is rolled. Another die is red and the random variable R represents the score when
the red die is rolled. Given the probability distribution of R is
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