As we already mentioned above, the odds 3:1 – for example three rainy days for each rainless day – corresponds to probability 0.75 (or in percentages 75%).
In general, if the odds in favor of an event are x:y, the probability of the event is given by x / (x+y). Try that with the odds 3:1 if you like. You should get the answer 0.75.
As we also pointed out, the odds 6:2 corresponds to exactly the same probability as the odds 3:1 because when we let x=6 and y=2, and write them in the formula x / (x+y), we get 6/(6+2), which comes out as 6/8 = 3/4 = 0.75.
Your task:
For the first three items 1–3, convert from odds to probabilities expressed as natural frequencies; for example from 1:1 to 1/2. Give your answer as a fraction, for example 2/3.
For the last three items 4–6, convert the odds into probabilities expressed as percentages (e.g. 4.2%). Give your answer in percentages using a single decimal, for example 12.2%.
Hint: the calculations are to be calculated with a simple calculator and the formulas can be found above.
The odds for getting three of a kind in poker are about 1:46.
Answer:
The odds for rain in Helsinki are 206:159.
Answer:
The odds for rain in San Diego are 23:342.
Answer:
The odds for getting three of a kind in poker are about 1:46.
Answer:
The odds for rain in Helsinki are 206:159.
Answer:
The odds for rain in San Diego are 23:342.
Answer:
Answers
Given :
The odds for getting three of a kind in poker are about 1:46.
The odds for rain in Helsinki are 206:159.
The odds for rain in San Diego are 23:342.
To find : , convert from odds to probabilities expressed as natural frequencies;
convert the odds into probabilities expressed as percentages
Solution :
The odds for getting three of a kind in poker are about 1:46.
Probability of getting three of a kind in poker = 1/47
= 2.13 %
The odds for rain in Helsinki are 206:159.
Probability of rain in Helsinki = 206/(206 + 159) = 206/365
= 56.44 %
The odds for rain in San Diego are 23:342
Probability of rain in San Diego = 23/365
= 6.3 %
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