To pay you for mowing the lawn, your grandmother puts money in a bag. The bag has one $10 bill and four $1 bills. You get to draw out two bills. What is the theoretical probability of getting $11? What is the probability of getting $2? Explain

2 out of five and 2 out of five
In the bag its a ten dollar bill you have a one in five chance of getting the ten dollar bill
You have four ones in the bag you have a 4 in 5 chance of getting the one dollar bill.
Now to get 11 dollars you have a 2 in 5 chance because there is only 1 of the ten and 4 of the 1s

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facundo3141592 facundo3141592 · Answer 2 · 2022-04-15T12:57:17+02:00

The theoretical probability of getting $11 is P = 2/5, and of getting $2 the probability is P = 3/5.

How to get the probability?

Theoretically, all the bills have the same probability of being randomly drawn.

So, to get $11, we need to draw one $10 bill and one $1 bill.

The probability of getting the $10 bill is one over 5 (because there is one $10 bill and 5 bills in total).

p = 1/5.

And then we only have 4 $1 bills, so the probability of getting one of these is equal to 1.

Also, there is the case where we first draw a $1 bill, with a probability:

p = 4/5.

And then we draw the $10 one, with a probability:

P = 1/4

(now the denominator is 4, because there are 4 bills left).

The joint probability is the product of the two above

The total probability is then:

P = (1/5)*1 + (4/5)*(1/4) = 2*(1/5) = 2/5

And the probability of getting $2?

Well, en the first bill we need to get a $1 bill, the probability is:

p = 4/5

Now there are 3 $1 bills, and 4 bills in total, so the probability of drawing another $1 bill is:

q = 3/4

The joint probability is then:

P = p*q = (4/5)*(3/4) = 3/5

If you want to learn more about probability, you can read:

https://brainly.com/question/251701