A basketball player has a 40% shooting average from the free-throw line. If she takes two free throws, estimate the probability that she will make both of them. Use the following list of digits which was taken from a table of random numbers. Let the digits 0-3 represent a made free throw and let the digits 4-9 represent a miss. Start at the top left of the table and move all the way across to the right of the table before moving down to the next row.

Question

A basketball player has a 40% shooting average from the free-throw line. If she takes two free throws, estimate the probability that she will make both of them. Use the following list of digits which was taken from a table of random numbers. Let the digits 0-3 represent  a made free throw and let the digits 4-9  represent a miss. Start at the top left of the table and move all the way across to the right of the table before moving down to the next row.

52052	24004	03845	11507	
27510	33761	86563	61729	
48061	59412	79969	11339	
27324	72723	22406	86253	
29970	95877	70975	99120

9) 
 
_______  
A)

B)

C)

D)

drwls · Answer

The probability of making two in a row is (2/5)^2 = 4/25.

I have no idea what the (A) - (D) part of your question is all about.

You could use the numerical entries to compute the actual fraction of free throws made, and the fraction of consecutive pairs of free throws made.

45 of 100 free throws were made (45%), which is better then the supposed average.

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