Question

In a tennis tournament, the odds that player A will be the champion is 4 to 3 and the odds that player B will be champion is 1 to 4. What are the odds that either A or B will become the champion?

• A. $25$ to $8$
• B. $27$ to $8$
• C. $4$ to $1$
• D. $27$ to $35$

Answer 1

The correct option is B $27$ to $8$

odds that player A will be the champion is 4 to 3

Probability that A will be champion =4/7

odds that player B will be champion is 1 to 4

Probability that B will be champion =1/5

Probability that either A or B will become the champion=4/7+1/5=27/35

odds that either A or B will become the champion is 27 to 8