Question

If the probability of a horse a winning a race is 1/5 and the probability of a horse b winning the race is 1/6 . what is the probability that one of the horses will win

Answer 1

Answer:

probability that one of the horses will win is 0.3

Step-by-step explanation:

Given that,

probability of winning horse a is $\frac{1}{5}$

Therefore, probability of losing the race of horse a is $1-\frac{1}{5}=\frac{4}{5}$

probability of winning horse b is $\frac{1}{6}$

Therefore, probability of losing the race of horse b is $1-\frac{1}{6}=\frac{5}{6}$

Now, the probability that any of the horse will win the race means

a win and b lose or a lose and b win

Thus, required probability is

$P=\frac{1}{5}\times\frac{5}{6}+\frac{1}{6}\times\frac{4}{5}\\\\P=\frac{3}{10}\\\\P=0.3$

Answer 2

Answer:

the probability that one of the horses will win ::::: 3/10