The probability of selecting two even numbers is 1/6.
Step-by-step explanation:
Nine disks are numbered from 1 to 9 and placed in a box.
The total number of disks = 9
The question is asked to find the probability of selecting two even numbers.
- We know that, the disks in the box are {1,2,3,4,5,6,7,8,9}.
- The even number disks are {2,4,6,8}.
The number of even number disks = 4 disks.
To find the probability of selecting two even numbers without replacement :
P (first even disk) = No.of even disks / Total disks
⇒ 4 / 9
P (second even disk) = No.of remaining even disks / Total disks
⇒ 3 / 8
P (two even disks without replacement) = 4/9 × 3/8
⇒ 12 / 72
⇒ 1 / 6
∴ The probability of selecting two even numbers is 1/6.
