Answer:The probability of selecting two even numbers is [tex]\dfrac{13}{58}[/tex] .
Step-by-step explanation:
Given , 29 cards are numbered from 1 to 29 and placed in a box.
Number of even number cards = 2,4,6,8,..., 28= 14
Number of odd number cards = 29-14=15
The probability of selecting 2 even number cards = [tex]\dfrac{^{14}C_2}{^{29}C_2}[/tex]
[tex]=\dfrac{\dfrac{14!}{2!12!}}{\dfrac{29!}{2!27!}}\\\\=\dfrac{14\times13}{29\times28}\\\\=\dfrac{13}{58}[/tex]
Hence, the probability of selecting two even numbers is [tex]\dfrac{13}{58}[/tex] .
