Question

Natasha Romanov is really good at playing darts. She can hit a bullseye about 95% of the time. How many throws will she

need in order for her to hit 76 bullseyes?

Answer 1

Explanation:

P(hit a bulleye) = 95% = 0.95

P(hit 2x bulleyes) = 0.95*0.95

P(hit 76x bulleyes) = 0.95^76

= 0.02

So she will hit 76 bulleyes on average every 1/0.02 = 50 times.

Total number of throws = 50 x 76

= 3800

Answer 2

Given that,

Natasha can hit a bullseye about 95% of the time

we've to find the number of throws will she

need in order for her to hit 76 bullseyes

for that, we'll divide 76 by 95%

`\huge \rightarrow \: 76 / (95)/(100) = (76)/((95)/(100) ) \\`

`\huge \rightarrow76 * (100)/(95)`

`\huge \rightarrow80`

Hence, she need 80 bullseye in order for her to hit 76 bullseyes