Suppose a basketball player has made 204 out of 409 free throws. if the player makes the next 3 free throws, i will pay you $17. otherwise you pay me $4. step 1 of 2: find the expected value of the proposition. round your answer to two decimal places. losses must be expressed as negative values.  step 2 of 2: if you played this game 921 times how much would you expect to win or lose? round your answer to two decimal places. losses must be entered as negative.

Solution-

The probability of making a single shot is,

The probability of making 3 shot will be,

The probability of not making 3 shot is,

The expected gain for the basketball player will be,

= (Probability of making 3 shots) × ($17) + (Probability of NOT making 3 shots) x (-$4)

So the basketball player is expected to lose, on average, $1.39

If he played this game 921 times how much would you expect to win or lose

So the basketball player is expected to lose $1280.19, if he plays this game 921 times.

The product will have 102 zeroes since if you multiply any number like 1000,10, 10000, etc. then you just add zeroes to the end. If you multiplied a googol and 10 together, you add two more zeroes to the end of the number googol, making it have 102 zeroes.