Question

Set A consists of the ten digits 0,0,0,0,0,0,2,2,2,4. Set B consists of the seven digits 0,0,0,0,2,2,2. one digit is chosen at random from each set. the random variable X is defined as the sum of these two digits. SHow that P(X = 2) = 3/7.

Answer 1

A = {0,0,0,0,0,0,2,2,2,4}
B ={ 0,0,0,0,2,2,2}
To find A + B , fix one element in A, then add each element in B
A + B ={ 0,0,0,0,2,2,2 , 0,0,0,0,2,2,2, ...

Answer 2

wait, im not getting you.