A darts player has a 45 chance of scoring over 100 with thre

A darts player has a 45% chance of scoring over 100 with three darts.

a) What is the probability that he scores over 100 with three darts once (and only once) out of his two attempts?

b) What is the probability that he scores over 100 with three darts in a row?

c) If the darts player becomes more confident after scoring over 100 with three darts (his probabilty of doing so again of the next attempts rises to 55%) and less condifent (probability falls to 20%) after failing to do so, how would this affects the answers to parts (a) and (b)?

Solution

a) 0.45/3 = 0.15 with only 1 change

b)

0.45

c) affect the difference of the percent

if he can do it 55-45 = 10%

the answers will increase in 10%

if he can\'t do it 45- 20 = 25 %

the answers will decrease in 25%