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Homework: Ch5 - Probability Save 18 of 25 (18 complete)> HW Score: 69.33%, 17.33

ID: 3374482 • Letter: H

Question

Homework: Ch5 - Probability Save 18 of 25 (18 complete)> HW Score: 69.33%, 17.33 of 25 pts Score: 0.33 of 1 pt %) 5.325 Suppose Nate loses 26% of all air hockey games. Question Help (a) What is the probability that Nate loses two air hockey games in a row? hat is the probability that Nate loses six 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 Nate loses six air hockey games in a but does not lose seven in a row. (a) The probability that Nate loses two air hockey games in a row is 0.0676 Round to four decimal places as needed.) (b) The probability that Nate loses six air hockey games in a row is 0.0003 (Round to four decimal places as needed.) (c) The probability that Nate loses six air hockey games in a row, but does not lose seven in a row is Round to four decimal places as needed.)

Explanation / Answer

Probability of losing = 0.26

Probability of winning = 1- 0.26 = 0.74

a) Probability of losing two air hockey games = 0.26*0.26 = 0.0676

b) Probability of losing six air hockey games = 0.266 = 0.0003

c) Losing 6 games in row but not 7 in a row means winning the 7th game

So, Probability of losing Losing 6 games in row but not 7= 0.266 * 0.74 = 0.0002