Question

a ball is drawn randomly from a jar that contains 2 red balls, 9 white balls, and 5 yellow balls. find the probability of each given event.
write your answers as simplified fractions or whole numbers.
a. p(a red ball is drawn) is equal to
b. p(a white ball is drawn) is equal to
c. p(a yellow ball is drawn) is equal to
d. p(a green ball is drawn) is equal to

Explanation:

Step1: Calculate total number of balls

Total number of balls \(=2 + 9+5=16\)

Step2: Calculate probability for red ball

Number of red balls \(n(R)=2\). Probability \(P(R)=\frac{n(R)}{n(T)}=\frac{2}{16}=\frac{1}{8}\)

Step3: Calculate probability for white ball

Number of white balls \(n(W)=9\). Probability \(P(W)=\frac{n(W)}{n(T)}=\frac{9}{16}\)

Step4: Calculate probability for yellow ball

Number of yellow balls \(n(Y)=5\). Probability \(P(Y)=\frac{n(Y)}{n(T)}=\frac{5}{16}\)

Step5: Calculate probability for green ball

Number of green balls \(n(G)=0\). Probability \(P(G)=\frac{n(G)}{n(T)}=\frac{0}{16}=0\)

Answer:

A. \(\frac{1}{8}\)
B. \(\frac{9}{16}\)
C. \(\frac{5}{16}\)
D. \(0\)