Answer: 1/2, 1/2
Step-by-step explanation:
A die has 6 faces.
Total number of faces = 6
Possible outcomes are :1,2,3,4,5,6
Even numbers : 2, 4, and 6 = 3
Non even numbers: 1,3,and 5= 3
First statement:
P(Even number) = 3/ 6 = 1/2
P(X=1) = 1/2
P(odd number) = 3/6 = 1/2
P(X=0) = 1/2
Second statement:
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(2 or 3 or 4) = (1/6) + (1/6) + (1/6)
P(2 or 3 or 4) = (1+1+1)/6 = 3/6 =1/2
Thus,
P(Y=1) = 1/2
Therefore,
P(X =0,Y=1) = 1/2, 1/2
