Difficult Math Question #4

[800guy]

try answering this one--OA to come later

In a basketball contest, players must make 10 free throws. Assuming a player has 90% chance of making each of his shots, how likely is it that he will make all of his first 10 shots?

[aim-wsc]

if u hv two throws:
ur chances of getting a right shot ll be 0.9 X 0.9=0.81
for 3: 0.9^3=0.729
... ...
SO ON for ten throws
probability=0.9 ^ 10

present the options pls.

[800guy]

OA:

Ans: The probability of making all of his first 10 shots is given by

(9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10)* (9/10) = (9/10)^10 = 0.348 => 35%

[aim-wsc]

yeah thats what i said.

but how can you expect a student know the value of 0.9 ^ 10 be 0.37 or something??

no i wont take this////
you gotta come up with options.

anyway
ya i know they hv not provided options..just answers right sigh!
no problem

hey
800guy,
you hv got 123 problems ...( it would take TWO MONTHS to finish...)

so be fast post 4-5 everyday instead....

[naveen1003]

In a basketball contest, players must make 10 free throws. Assuming a player has 90% chance of making each of his shots, how likely is it that he will make all of his first 10 shots?

Chance of making a shot = 90%
Probability of making a shot = 0.9
Thus probability of making all of first 10 shots = 10C10*(0.9)^10 = [spoiler](0.9)^10[/spoiler]

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I do not think you see sums like these on the gmat i.e .9 ^ 10. Do you really?