Question

Mario makes 6 free throw shots out of his first 10 attempts. What is the least number of consecutive shots Mario must make to increase his percentage from 60% to at least 70%?

Answer 1

4 consecutive shots will put him at 10-14 71.42%

Answer 2

The least number of consecutive shots Mario must make to increase his percentage from 60% to at least 70% is:

4

Explanation:

Mario makes 6 free throw shots out of his first 10 attempts.

The percentage is: 60%

• Now if she make 1 more shot at the 11th attempt then the percentage will be:

`(7)/(11)* 100=63.63\%`

( Since out of total 11 attempts she made 6 free throw before and 1 more at 11th attempt )

• If she makes 2 consecutive shot after 10 attempts then the percentage will be:

`(8)/(12)* 100=66.67\%`

Similarly,

• If she makes 3 consecutive shot after 10 attempts then the percentage will be:

`(9)/(13)* 100=69.231\%`

which is still less than 70%

• Now if she makes 4 consecutive attempts in the 4 throws after 10 attempts then,

Percentage will be:

`(10)/(14)* 100=71.429\%`

Hence, the percentage is atleast 70%

Hence, he has to make 4 consecutive shots to increase his percentage to atleast 70%.