A jar is filled with nickels and pennies. The value of the nickels is $S
and the value of the pennies is $r. If you picked a hundred coins, what is your expected outcome?
To determine the expected outcome of picking a hundred coins from the jar, we need to calculate the average value of each coin and multiply it by the number of coins.
First, let's find the average value of each coin.
Since the value of each nickel is $S and there are only nickels and pennies in the jar, the average value of a nickel is $S/1 = $S.
Similarly, the value of each penny is $r/1 = $r.
Now, we need to determine the proportion of nickels and pennies in the jar. Let's assume there are n nickels and p pennies in the jar.
Since a total of 100 coins are picked, we can write the equation n + p = 100.
Next, we can calculate the expected value. The expected outcome is the sum of expected values of all the coins.
The expected value of a nickel is $S multiplied by the proportion of nickels in the jar, which is n/100.
The expected value of a penny is $r multiplied by the proportion of pennies in the jar, which is p/100.
So, the expected outcome can be calculated using the formula:
Expected Outcome = (n/100) * $S + (p/100) * $r
To find the specific expected outcome, we need to know the values of S, r, n, and p - which are missing from your question. Could you please provide those missing values?