Answer:
a)1/4
b)1/2
Step-by-step explanation:
a) The selection is with replacement, then we already have 1 $ bill and in the hat again the four bills. What is the probability of select 1$ bill ? well it is 1/4.
The point here is, replacement condition make the second trial totally independent of the first one
b)Following the same reasoning now we have selected a 10 $ bill, and we have two possibles positive outcome a 10 $ and a 20 $ bill and a total of 4 outcomes th th probability is 1/2
The probabilities are:
a) 1/16
b) 1/8.
We assume that all the bills have the same probability of being randomly selected.
a) Then the probability of randomly selecting a $1 bill is equal to the number of $1 bills on the hat divided by the total number of bills.
There is one $1 bill on the hat, and 4 bills in total, so the probability is:
p = 1/4.
Then you return the $1 bill to the hat and want to draw it again, with the same probability as before.
q = 1/4.
The joint probability is the product of the individual probabilities, so we have:
P = p*q = (1/4)*(1/4) = 1/16.
b) There are 2 bills that have a larger value than $5, then the probability for the first draw is:
p = 2/4
For the second draw, we must get the $10 bill, and the probability of getting it is:
q = 1/4.
The joint probability is:
P = p*q = (2/4)*(1/4) = 1/8.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
