Question

In: Statistics and Probability

Problem 5 In the 1998 video-games Pokémon Red Version and Pokémon Blue Version, the player was...

Problem 5 In the 1998 video-games Pokémon Red Version and Pokémon Blue Version, the player was able to create their own party of one to six total “pocket monsters”. In these games, there were 151 species of Pokémon available for capture, and it was possible to fill a party with multiple monsters of the same species. Determine the following:

a) Ignoring order, how many combinations of party Pokémon were possible in these games?

b) If a Pokémon party were to be made up of monsters selected completely at random, how likely is it that the entire team would be made up of a single species of Pokémon?

c) If a Pokémon party were to be made up of monsters selected completely at random, how likely is it that there would be no Pokémon of the same species in the party?

Solutions

Expert Solution


Related Solutions

4.Consider a modified version of the divide the dollar game in problem (3) in which player...
4.Consider a modified version of the divide the dollar game in problem (3) in which player 2 can make a counteroffer if she does not accept player 1’s offer. After player 2 makes her counteroffer –if she does– player 1 can accept or reject the counteroffer. As before, if there is no agreement after the two rounds of offers, neither player gets anything. If there is an agreement in either round then each player gets the amount agreed to.Represent the...
A jar contains 2 red, 3 green, and 6 blue marbles. In a game player closes...
A jar contains 2 red, 3 green, and 6 blue marbles. In a game player closes their eyes, reaches into the jar and randomly chooses two marbles. The player wins the game if at least one of their marbles is red. Suppose it cost $1 to play the game and the winning prize is $3. Mathematically analyze this game and determine if it is in your financial interest to play the game.
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked...
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked to randomly pick 5 of them. Let X1 and X2 denote the blue and red gemstones respectively, find the following: E[X1|X2] E[3X12X2-X1X2] Are X1 and X2 independent? Let R be a region given by (X1+X2≤3) , determineP(X1,X2 ϵ R]
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked...
An urn contains 5 blue, 3 red and 2 blue gemstones and a person is asked to randomly pick 5 of them. Let X1 and X2 denote the blue and red gemstones respectively, find the following: The joint probability mass function (PMF) of X1 and X2, i.e., pX1X2(x1,x2) Marginal PMFs of X1 and X2, i.e., pX1(x1) and pX2(x2) Determine the first order moments of both X1 and X2 E[X1|X2] E[3X12X2-X1X2] Are X1 and X2 independent?
5. (Games w/o conflict) Give an example of a two player strategic game where each player...
5. (Games w/o conflict) Give an example of a two player strategic game where each player has two actions and have identical preferences over outcomes, so that there is no conflict between their interests. a. Represent the game in normal form (bimatrix). b. Support with link to news article, pictures, or similar.
An urn contains 5 red balls and 5 blue balls. ​(a) If 3 balls are selected...
An urn contains 5 red balls and 5 blue balls. ​(a) If 3 balls are selected all at​ once, what is the probability that 2 are blue and 1 is​ red? ​(b) If 3 balls are selected by pulling out a​ ball, noting its​ color, and putting it back in the urn before the next​ section, what is the probability that only the first and third balls drawn are​ blue? ​ (c) If 3 balls are selected one at a...
Box I contains 4 red and 8 blue marbles while box II contains 5 red and...
Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed – whose probability of turning up heads is 40%. If the coin comes up heads box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II. Suppose after the first marble is chosen – the experiment is repeated. Assume the first marble is NOT put...
An urn contains 5 red balls and 6 blue balls. A ball is drawn. If the...
An urn contains 5 red balls and 6 blue balls. A ball is drawn. If the ball is red, it is kept out of the urn and an additional blue ball is added to the urn. Then, a second ball is drawn from the urn. If the ball is blue, then it is put back in the urn and an additional blue ball is added to the urn. Then a second ball is drawn from the urn. If the second...
2. A jar contains 5 balls, 4 of which are blue and one red. (a) If...
2. A jar contains 5 balls, 4 of which are blue and one red. (a) If you draw balls one at a time and replace them, what is the expected draw at which you will see the red ball? (b) If you draw balls one at a time, but without replacing them, what is the expected time to see the red ball? 3. A jar contains 1 red ball and an unknown number of blue balls. You make 20 draws...
There are three types of balls in a box: 5 red, 3 blue and 2 green....
There are three types of balls in a box: 5 red, 3 blue and 2 green. You draw 3 balls at once (without replacement) from this box and record: Y1=the # of red balls, Y2=the # of blue balls that you drew. Find the joint probability distribution of Y1, Y2, by first writing the possible values for y1, y2 in rows and columns and then filling in the probabilities within this table. Then check that the sum of the entries...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT