You are going to play mini golf. A ball machine that contains 24 green golf balls, 23 red golf balls, 22 blue golf balls, and 21 yellow golf balls, randomly gives you your ball. What is the probability that you end up with a yellow golf ball? Express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answer

To find the probability of getting a yellow golf ball, we first need to determine the total number of golf balls in the machine. Total balls = 24 green + 23 red + 22 blue + 21 yellow = 90 balls. The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes. In this case, there are 21 yellow balls. Probability = 21 / 90. To simplify the fraction, divide both the numerator and the denominator by their greatest common divisor, which is 3. 21 / 3 = 7 and 90 / 3 = 30. So, the simplified fraction is 7/30. To express the answer as a decimal rounded to four decimal places, divide 7 by 30: 7 ÷ 30 ≈ 0.2333.