Answer:
The probability that the selection will contain the half-dollar is 3/4.
Step-by-step explanation:
Consider the provided information.
A jar contains four coins: a nickel, a dime, a quarter, and a half-dollar.
Three coins are randomly selected from the jar.
Let N represents nickel, D for dime, Q for quarter and H for half dollar.
The number of possible choices are:
[tex]E_1 = (NDQ),E_2 = (NDH), E_3 = (NQH), E_4 = (DQH)[/tex]
Now we need to find the probability that the selection will contain the half-dollar.
P(choose a half-dollar) = [tex]P(E_2)+P(E_3)+P(E_4)[/tex]
P(choose a half-dollar) = [tex]\frac{1}{4}+\frac{1}{4}+\frac{1}{4}[/tex]
P(choose a half-dollar) = [tex]\frac{3}{4}[/tex]
Hence, the probability that the selection will contain the half-dollar is 3/4.
