You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability P(A). Write the probability as: there are 3 A's
a fraction in simplest form
a decimal
a percent
To find the probability of drawing an A, we need to count how many A's there are in the mix of letters and divide by the total number of letters.
There are 3 A's in the mix of 12 letters.
So the probability of drawing an A is:
3/12
Simplifying the fraction:
1/4
As a decimal:
0.25
As a percent:
25%
Why did Muhammad move from Mecca to the city of Medina?
A.
He had already established a Muslim community in Mecca.
B.
He and his followers faced persecution by opponents in Mecca.
C.
He did not want to interfere with existing worship at the Kaaba in Mecca.
D.
He was a merchant and wanted to trade with the people of Medina.
B. He and his followers faced persecution by opponents in Mecca.
To find the probability of drawing an "A" from the given set of letters, we need to determine the number of "A"s in the set and divide it by the total number of letters.
Given letters: M, A, T, H, E, M, A, T, I, C, A, and L
Number of "A"s = 3
Total number of letters = 12 (all the letters in the given set)
So, the probability of drawing an "A" (P(A)) can be calculated as follows:
P(A) = Number of "A"s / Total number of letters = 3/12
Simplifying the fraction, we get:
P(A) = 1/4
Therefore, the probability of drawing an "A" can be expressed as 1/4 (fraction in simplest form).
To convert this fraction to a decimal, divide the numerator by the denominator:
P(A) = 1 ÷ 4 = 0.25
Hence, the probability of drawing an "A" can be written as 0.25 (decimal).
To convert the decimal to a percent, multiply it by 100:
P(A) = 0.25 × 100 = 25%
Therefore, the probability of drawing an "A" can be written as 25% (percent).