Answer:
The probability that all three numbers are even numbers is:
[tex]\dfrac{1}{35}[/tex]
Step-by-step explanation:
There are seven balls numbered as: 1-7
and the number of even numbers are: 3 ( i.e. 2,4 and 6 )
Three balls are chosen without replacement.
Hence, the probability that all three numbers are even numbers is given by:
Ratio of number of favorable outcomes to the total number of outcomes.
Hence, the probability is:
[tex]P(All\ three\ even\ numbers)=\dfrac{3_C_3}{7_C_3}[/tex]
where the numerator represents that the balls drawn have even numbers.
and the denominator denote the choosing of 3 balls out of a total of 7 balls.
Hence, the probability is:
[tex]P(All\ three\ even\ numbers)=\dfrac{1}{35}[/tex]
