The names, or notes, of all the white notes on a piano are written on pieces of paper and placed in a cup. There are 7 sets of the notes D, E, F, and G and 8 sets of the notes A, B, and C. If a person draws one note out of the cup without looking, what are his or her chances of getting a C?
total notes: 7*4 + 8*3 = 52
so, how many of those are C?
To determine the chances of getting a C, we need to calculate the probability.
First, let's find the total number of notes in the cup.
There are 7 sets of D, E, F, and G, which means a total of 7 * 4 = 28 notes for these four notes combined.
Similarly, there are 8 sets of A, B, and C, which means a total of 8 * 3 = 24 notes for these three notes combined.
Therefore, the total number of notes in the cup is 28 + 24 = 52.
Next, let's find the number of C notes in the cup.
Since there are 8 sets of C, there are a total of 8 * 1 = 8 C notes in the cup.
Now, we can calculate the probability.
The probability of drawing a C is equal to the number of C notes divided by the total number of notes in the cup.
So, the probability of getting a C is 8/52 = 2/13.
Therefore, the person has a 2/13 chance of getting a C when they draw a random note from the cup.