Question

In a soccer tournament, 8 teams are participating (A, B, C,……, H). If all the teams have an equal chance of winning, what is the probability of team B winning the tournament?

• A. $\frac{1}{16}$
• B. $\frac{1}{8}$
• C. $\frac{1}{4}$
  
• D. $\frac{1}{2}$

Answer 1

The correct option is B $\frac{1}{8}$

In this problem, sample space consists of 8 elements.
Here, the number of favorable outcomes = number of teams winning the tournament $=1$.
Total number of outcomes = Number of teams participating = Number of elements in the sample space $=8$
Probability that one of the 8 teams will win the tournament $=\frac{\text{Number of favorable outcomes}}{\text{Number of possible outcomes}}=\frac{\text{Number of team becoming the champion}}{\text{Number of teams participating}}=\frac{1}{8}$