When x=0, p = (1-1/2) 3 =1/8.
When x= 1, p = 3 * (1-1/2) 2 *1/2 = 3/8.
When x=2, p = 3 * (1-1/2) * (1/2) 2 = 3/8.
When x=3, p = (1/2) 3 = 1/8.
So the probability distribution list is
x 0 1 2 3
P 1/8 3/8 3/8
2)
B Probability of hitting the target three times p' = (2/3) 3 = 8/27.
So the probability of hitting twice at most is P= 1-8/27= 19/27.
3)
In two cases, A hit twice and B missed; Or a hits three times and b hits once.
p 1=3/8*( 1/3)^3= 1/24
p2= 1/8*3*(2/3)*( 1-2/3)^2= 1/36
So the total probability is P 1+P2=5/72.
Hope to help the landlord, hope to adopt!