Question

a ball is drawn randomly from a jar that contains 7 red balls, 5 white balls, and 7 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

$7 + 5+7=19$

Step2: Calculate probability of drawing a red ball

$P(\text{red})=\frac{\text{number of red balls}}{\text{total number of balls}}=\frac{7}{19}\approx 0.3684$

Step3: Calculate probability of drawing a white ball

$P(\text{white})=\frac{\text{number of white balls}}{\text{total number of balls}}=\frac{5}{19}\approx 0.2632$

Step4: Calculate probability of drawing a yellow or red ball

$P(\text{yellow or red})=\frac{\text{number of yellow balls}+\text{number of red balls}}{\text{total number of balls}}=\frac{7 + 7}{19}=\frac{14}{19}\approx 0.7368$

Answer:

a. $0.3684$
b. $0.2632$
c. $0.7368$