Question

a ball is drawn randomly from a jar that contains 9 red balls, 7 white balls, and 2 yellow balls. find the probability of the given event. write your answers as reduced fractions or whole numbers.
(a) ( p )(a red ball is drawn) ( = )
(b) ( p )(the ball drawn is not red) ( = )
(c) ( p )(a green ball is drawn) ( = )

Explanation:

Step1: Calculate total number of balls

Total number of balls \(n = 9 + 7+2=18\)

Step2: Calculate \(P(\text{A red ball is drawn})\)

Number of red balls \(m_1 = 9\). Probability formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). So \(P(\text{A red ball is drawn})=\frac{9}{18}=\frac{1}{2}\)

Step3: Calculate \(P(\text{The ball drawn is NOT red})\)

Number of non - red balls \(m_2=7 + 2=9\). Using the probability formula \(P=\frac{9}{18}=\frac{1}{2}\)

Step4: Calculate \(P(\text{A green ball is drawn})\)

Number of green balls \(m_3 = 0\). Using the probability formula \(P=\frac{0}{18}=0\)

Answer:

(a) \(\frac{1}{2}\)
(b) \(\frac{1}{2}\)
(c) \(0\)