The names of the students in Mr. Hayes' math class are written on the board. Mr. Hayes writes each name on an index card and shuffles the cards. Each day he randomly draws a card and the chosen student explains a math problem at the board. What is the probability that Ryan is chosen today? What is the probability that Ryan is not chosen today?

I noticed on the picture that there are a total of 20 names and only one child by the name of Ryan.
The probability that Ryan is chosen today is: 1/20
The probability that Ryan is NOT chosen today is: 19/20

Are my answers correct?

Yes, you're right.

Thank you Ms. Sue.

You're welcome, Patrick.

Ur so smart

Yes, your answers are correct! The probability of Ryan being chosen today is indeed 1/20 because there is only one card with Ryan's name out of a total of 20 cards. Therefore, there is a 1 in 20 chance that Ryan's card will be drawn.

Similarly, the probability of Ryan not being chosen today is 19/20. Since there are 19 cards with names other than Ryan's out of a total of 20 cards, there is a 19 in 20 chance that one of those cards will be drawn instead of Ryan's card.