Question

Need problem solving process and the steps

version 3 Questions 01-02 One of the best teams of all time in NBA history is Chicago Bulls in 1995-1996 season. The starting line-up was Ron Harper, Michael Jordan, Scottie Pippen, Dennis Rodman and Luc Longley. Suppose that each of these starting line-up players may miss a game due to some injury with a probability of 2%. The event of injury is statistically independent across players. Q01 What is the probability that all of the starting line-up players can play a game? (a) 1 - {5 x 0.98)"} (b) 1 - (0.98) (c) (0.98) (d) (0.02) (e) 5 (0.98) Answer (c) Q02 What is the probability that at least one of the starting line-up players miss a game? (a) 1 - {5x (0.98) (b) 1 - (0.98) (c) (0.98) (d) (0.02) (e) 5 x (0.98) Answer (b)

Answer 1

1) probability that player 1 does not miss a game P(1) = 1 - 0.02 = 0.98

P(2) = 0.98

P (all players play) = P(1) x P(2) x P(3) x P(4) x P(5) = (0.98)⁵

(all are independent events)

2)

P (at least one misses) = 1 - (all players play)

(Complementary events)

P (at least one misses) = 1 - (0.98)⁵