In a race, the odds in favour of horses A, B, C, D are 1 : 3, 1 : 4, 1 : 5 and 1 : 6 respectively. Find
probability that one of them wins the race
To find the probability that one of them wins the race, we need to find the probability of each individual horse winning the race and then add them together.
The probability of horse A winning is 1 / (1+3+4+5+6) = 1/19.
The probability of horse B winning is 3 / (1+3+4+5+6) = 3/19.
The probability of horse C winning is 4 / (1+3+4+5+6) = 4/19.
The probability of horse D winning is 6 / (1+3+4+5+6) = 6/19.
Adding these probabilities together, the probability that one of them wins the race is (1/19) + (3/19) + (4/19) + (6/19) = 14/19.
Therefore, the probability that one of them wins the race is 14/19.