The odds against pats winning the election are 6:7 with these odds, what is the probablity that pat will win the election.
odds in favour of some event = prob(event)/prob(not event)
so prob of pat winning = 7/13
check:
prob pat will win = 7/13
prob pat will lose = 6/13
odds in favour of losing = (6/13) / (7/13) = 6/7
or 6 : 7
the-odds-against-pats-winning-the-election-are-6-7-with-these-odds-what-is-the probability that pat will win the election?
To determine the probability of an event, we can use the following formula:
Probability = 1 / (odds against + 1)
Given that the odds against Pat winning the election are 6:7, we can substitute these values into the formula:
Probability = 1 / (6 + 7)
Probability = 1 / 13
Probability ≈ 0.0769
Therefore, the probability of Pat winning the election is approximately 0.0769, or 7.69%.
To calculate the probability of an event, given odds against that event, you first need to convert the odds into a fractional form. The odds against Pat winning the election are given as 6:7, which can be expressed as 6/7.
To find the probability, you subtract the fraction obtained from 1. In this case, it would be 1 - (6/7).
To evaluate this expression, you need to find a common denominator. In this case, it's 7, so the expression becomes (7/7) - (6/7), which simplifies to 1/7.
Therefore, the probability that Pat will win the election is 1/7 or approximately 0.142857, which can be rounded to 0.14 (14%).