Question

a ball is drawn randomly from a jar that contains 7 red balls, 6 white balls, and 5 yellow balls. find the probability of the given event, and show your answers rounded to 4 decimal places when possible.
a. a red ball is drawn. p(red) =
b. a white ball is drawn. p(white) =
c. a yellow ball or red ball is drawn. p(yellow or red) =

Explanation:

Step1: Calculate total number of balls

$7 + 6+5=18$

Step2: Calculate probability of drawing a red ball

$P(\text{red})=\frac{\text{Number of red balls}}{\text{Total number of balls}}=\frac{7}{18}\approx 0.3889$

Step3: Calculate probability of drawing a white ball

$P(\text{white})=\frac{\text{Number of white balls}}{\text{Total number of balls}}=\frac{6}{18}=\frac{1}{3}\approx 0.3333$

Step4: Calculate probability of drawing a yellow or red ball

$P(\text{yellow or red})=\frac{\text{Number of yellow balls}+\text{Number of red balls}}{\text{Total number of balls}}=\frac{5 + 7}{18}=\frac{12}{18}=\frac{2}{3}\approx 0.6667$

Answer:

a. $0.3889$
b. $0.3333$
c. $0.6667$