25 Every years two teams, Unggul and Bestari meets each other in a debate competition. Past results showthat in years when Unggul win, the probability of them winning the next year is 0.6 and in years whenBestari win, the probability of them winning the next year is 0.5. it is not possible for the competitionto result in a tie. Unggul won the competition in 2011.a. Construct a probability tree diagram for the three years up to 2014.b. Find the probability that Bestari will win in 2014.c. If Bestari wins in 2014, find the probability that it will be their first win for at least threeyears.d. Assuming that Bestari wins in 2014, find the smallest value of n such that the probability ofUnggul wins the debate competition for n consecutive years after 2014 is less than 0.05.

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Answered: Every years two teams, Unggul and…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement. Use a PROBABILITY TREE to answer the following questions. a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red.
A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? The probability of a flush in spades is the product of the probabilities due to the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the…
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Box A contains 6 red and 10 white marbles. Box B contains 8 red and 5 white marbles. A marble is chosen from Box A and its color is recorded. That marble is then placed in Box B and a marble is chosen at random from Box B and its color is recorded. a. Fill in the probability tree to describe this situation. Red Red White Red White White b. Find the probability that a red marble is drawn second. c. Find the probability that you draw a white marble second, given the first marble drawn was white.
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Make a tree diagram for this question: The probability that a consumer will be exposed to an advertisement for a certain product by seeing a commercial on television is 0.4 The probability that the consumer will be exposed to the product by seeing an advertisement on a billboard is 0.6. The two events, being exposed to the commercial and being exposed to the billboard ad, are assumed to be independent, what is the probability that he or she will be exposed to at least one of the ads?
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Please answer these questions
A. 8.33%B. 2 timesC. 66.67%D. 16 times

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