Let us write the formula for probability,
[tex]\text{Probability}=\frac{Number\text{ of favourable outcomes}}{\text{Total number of outcomes}}[/tex]The number of balls that lands in the black slot are 17, because we were told that half of the slots are red and half of the slots are black.
[tex]\begin{gathered} \text{The number of balls that lands in black slot=}\frac{34}{2} \\ =17 \end{gathered}[/tex]The total number of slots= 36
The probability of balls that land in a black slot will be,
[tex]\begin{gathered} P(\text{ball lands in a black slot)=}\frac{The\text{ number of balls in the black slot}}{\text{Total slots}} \\ =\frac{17}{36}=\frac{17}{36} \end{gathered}[/tex]Hence, P(ball lands in a black slot)= 17/36.
