Explanation:
In the given question we would require the formula for probability to solve the questions. The formula is given below;
[tex]Pr(Event)=\frac{number\text{ of favorable outcomes}}{\text{Total number of possible outcomes}}[/tex]The total number of possible outcomes represents the number of balls in the jar. This is given below;
[tex]2+8+4=14\text{ balls}[/tex]Note: The number of favorable outcomes varies depending on the ball that would be picked
1) if a red ball is drawn, the number of favorable outcomes is 2 red balls
2)If a white ball is drawn, the number of favorable outcomes is 8 red balls
3) If a yellow ball is drawn, the number of favorable outcomes is 4 yellow balls
Also, the term "or" represents the union of two probabilities and can be represented by "+".
Workings:
Part A
The probability that a red ball is drawn is given as:
[tex]Pr(\operatorname{Re}d)=\frac{2}{14}=\frac{1}{7}=0.1429[/tex]Answer 1:
[tex]Pr(red)=0.1429[/tex]Part B
The probability that a white ball is drawn is given as;
[tex]Pr(White)=\frac{8}{14}=0.5714[/tex]Answer 2:
[tex]Pr(White)=0.5714[/tex]Part C
The probability that a yellow or red ball is drawn is given as
[tex]Pr(\text{yellow or red)=}\frac{4}{14}+\frac{2}{14}=\frac{4+2}{14}=\frac{6}{14}=0.4286[/tex]Answer 3:
[tex]Pr(\text{yellow or white)}=0.4286[/tex]