Answer:
A. 5/36
Explanation:
The total number of possible number choice = 6
Only 1 out of 6 can be correct, thus:
[tex]P(\text{he will guess the first number correctly)}=\frac{1}{6}[/tex]
There are 5 incorrect numbers, therefore:
[tex]P(\text{he will guess the }\sec ond\text{ number incorrectly)}=\frac{5}{6}[/tex]
Therefore, the probability that he will guess the first number correctly and the second number incorrectly:
[tex]\begin{gathered} =\frac{1}{6}\times\frac{5}{6} \\ =\frac{5}{36} \end{gathered}[/tex]
The correct choice is A.
