If the racetrack publishes that the odds in favor of a horse winning a race are 5 to 9, what is probability that the horse will
2 answers:
Answer:
Step-by-step explanation:
We know that , In probability the odds for an event is the ratio of the favorable outcomes to the unfavorable outcomes.
We are given that ,
The racetrack publishes that the odds in favor of a horse winning a race are 5 to 9 .
i.e. favorable outcomes for horse winning a race = 5
i.e. unfavorable outcomes for horse winning a race = 9
Now , Total outcomes = favorable outcomes+ unfavorable outcomes
= 5+9 = 14
Then, the probability that the horse will not win the race
Hence, the probability that the horse will not win the race =
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Answer:
a) 0.1423
b) 0.2977
c) 0.56
Step-by-step explanation:
For each driver stopped for speeding, there are only two possible outcomes. Either they have invalid licenses, or they do not. The probability of a driver having an invalid license is independent from other drivers. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
13 percent of the drivers stopped for speeding have invalid licenses.
This means that
14 drivers are stopped
This means that
(a) None will have an invalid license.
This is
(b) Exactly one will have an invalid license.
This is
(c) At least 2 will have invalid licenses.
Either less than 2 have invalid licenses, or at least 2 does. The sum of the probabilities of these events is decimal 1. Mathematically, this is
We want
So
In which