Suppose GeorgeGeorge winswins 36% of all air hockey games. (a) What is the proba

Question

Suppose GeorgeGeorge winswins 36% of all air hockey games. (a) What is the probability that George wins two air hockey games in a row? (b) What is the probability that George wins threet air hockey games in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that GeorgeGeorge winswins threethree air hockey gamesair hockey games in a row, but does not windoes not win fourfour in a row. (a) The probability that George wins two air hockey gamesin a row is nothing. (Round to four decimal places as needed.) (b) The probability that George wins three air hockey games in a row is nothing. (Round to four decimal places as needed.) (c) The probability that George wins three air hockey games in a row, but does not win four in a row is nothing. (Round to four decimal places as needed.)

Explanation / Answer

a) What is the probability that George wins two air hockey games in a row?

Ans = 0.36 * 0.36 = 0.1296

b) probability that George wins three air hockey games in a row

Ans = 0.36^3 = 0.047

c) George winswins threethree air hockey gamesair hockey games in a row, but does not windoes not win fourfour in a row.

Ans = 0.36^3 * 0.64 = 0.0299

a) The probability that George wins two air hockey gamesin a row is nothing

Ans = 1 - 0.1296 = 0.8704

b) he probability that George wins three air hockey games in a row is nothing.

Ans = 1 - 0.047 = 0.953

c) The probability that George wins three air hockey games in a row, but does not win four in a row is nothing

Ans = 1 - 0.0299 = 0.9701

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