# Math Help - Probability and inscribed angle.

1. ## Probability and inscribed angle.

See attachment.

Probability:

In $\odot$V, point C is randomly located so that it does not coinside with points R or S. If $m\widehat{RS}=140$, what is the probability that $m\angle RCS=70$?

2. Originally Posted by takersgirl007
See attachment.

Probability:

In $\odot$V, point C is randomly located so that it does not coinside with points R or S. If $m\widehat{RS}=140$, what is the probability that $m\angle RCS=70$?

Hi takersgirl007,

So glad you edited your picture. Now we can read it.

If you randomly position point C between points R and S such that angle C is always 70 degrees, you will always intercept an arc of 140 degrees.

You have 220 degrees of arc on which to place point C (360 - 140 =220).

The probability then would be $\frac{220}{360} \r\: \frac{11}{18}" alt="\frac{220}{360} \r\: \frac{11}{18}" />

3. Thank you so much!

I was totally lost on this one..