Answer :
Answer:
The probability that the first selected marble will be yellow is [tex]\frac3{20}[/tex].
The probability that the second selected marble will be yellow is [tex]\frac{14}{99}[/tex].
The probability that the third selected marble will be red is [tex]\frac1 7[/tex]
Step-by-step explanation:
Probability:
The ratio of the number of favorable outcomes to the the number of all possible outcomes.
Given that, in a jar, 40 of the marbles are red, 20 of marbles are blue, 25 of the marbles white and 15 of the marbles are yellow.
Total number of marbles is=(40+20+25+15)=100
The probability that the first selected marble will be yellow is
[tex]=\frac{\textrm{Number of yellow marbles}}{\textrm{Total number of marbles}}[/tex]
[tex]=\frac{15}{100}[/tex]
[tex]=\frac{3}{20}[/tex]
After first selected marble was yellow, the remains yellow marbles is
= (15-1)=14
Now total number of marble is =(100-1)=99
The probability that the second selected marble will be yellow is
[tex]=\frac{\textrm{Number of yellow marbles}}{\textrm{Total number of marbles}}[/tex]
[tex]=\frac{14}{99}[/tex]
Now the total number of marble is =(99-1)=98
The probability that the third selected marble will be red is
[tex]=\frac{\textrm{Number of red marbles}}{\textrm{Total number of marbles}}[/tex]
[tex]=\frac{14}{98}[/tex]
[tex]=\frac17[/tex]