Amotorcycle license plate has 2 letters amd 3 numbers. what is the probability that a motorcycle has a license plate containing a double letter and an even number?

Probabity fo an event happening=(number of way it can happen) / (total number of out one)

1) we calculate the total number of way it can happen
a) tottal number of double letters=26  (aa,bb,cc,dd,...,zz).
b)tottal number of even numbers=(VR10,3) / 2=10³/2=500

The number total of way it can happen=26 * 500=13000.

2) we calculate the total number of out one.
a) total number of two letters= VR26,2=26²=676
b) total number of 3 numbers)=VR10,3=10³=1000

Tee total number of out one=676 * 1000=676000

3)we calculate the probability.
P=13000 / 676000=1/52≈0.02≈2%

Solution: P=1/52.