Question

Eight Ball: This is a game played on a pool table with 15 balls numbered 1 through 15 and a cue ball that is solid white. Of the 15 numbered balls, 8 are a solid (nonwhite) color and numbered 1 through 8 , and seven are striped balls numbered 9 through 15. 

The fifteen numbered pool balls (no cueball) are placed in a large bowl and mixed, then one is drawn out.

(i) What is the probability of drawing the eight ball ?

(ii) What is the probability of drawing a number greater than fifteen ?

(iii) What is the probability of drawing an even number ?

(iv) What is the probability of drawing a multiple of three ?

Answer 1

(i) P( the probability of drawing the eight ball) 

\(=\frac{\text{Number of favourable balls to the event}}{\text{total number of balls}}\)

\(= \frac 1{15}\)

(ii) Since no ball has numbered more than 15, then

P(the probability of drawing a number greater than fifteen) 

\(=\frac{\text{Number of favourable balls to the event}}{\text{total number of balls}}\)

\(= \frac 0{15}\)

\(=0\)

(iii) There are 7 even number balls (2,4,6,8,10,12,14), then

P(the probability of drawing an even number)

\(=\frac{\text{Number of favourable balls to the event}}{\text{total number of balls}}\)

\(= \frac 7{15}\)

(iv) There are 5 balls having number multiple of 3, then

P( the probability of drawing a multiple of three)

\(=\frac{\text{Number of favourable balls to the event}}{\text{total number of balls}}\)

\(= \frac 5{15} \)

\(= \frac 1{5}\)