Question

A basketball player makes each free-throw with a probability of 0.8 and is on the line for a one-and-one free throw. (That is, a second throw is allowed only if the first is successful.) What is the probability that the player will score 0 points? 1 point? 2 points? Assume that the two throws are independent The probability of scoring 0 points is

Answer 1

Given > The Probability of Socess in a free-torow for giver Player is P-08] | Given that Second throw is allowed only if the first throw is Soccessful | we consider two independent fsee - trows. Score "o" points is ! → The Probability that the player will Consider as : PCX, =s') : 100.8 1. P(x,-s')= 0.9 → The Probability that the defined as a player will Score "A" Point is

P(x, = S, Xo = 5' ) = 0.861-0.8) 1.; PCX, =S, Xo = s') > 0.16 The Poobability defined as that the player will Store two points is P(x,=S, Xq=s) = 0.8 x0.8 PCxi +8, x9 = ) 0.647