P(goal) = 35%, find the odds for goal Step by Step

Step by step

The question

Question: find the odds for goal, when the probability of goal is 35%.

P(goal) = 35%

The odds for compare the outcomes for, with the outcomes against.

odds for = for : against

1 Make it a fraction

Percent means out of 100: 35% is 35/100.

P(goal) = 35100

Both 35 and 100 can be divided by 5.

That makes it simpler.

P(goal) = 35 ÷ 5100 ÷ 5

So it is 7/20.

P(goal) = 720

2 Read the fraction

7/20 means 7 out of every 20 outcomes are for goal.

for = 7

The others are against: 20 minus 7 is 13.

against = 20 − 7 = 13

3 Write the odds

For, then against: 7 to 13.

odds for = 7 : 13

Careful!

The 20 is all the outcomes.

Odds compare for with against, not with all.

Careful: not 7 : 20 ✗

4 Check

Let's check by going back.

The probability is for over all: 7/7 plus 13.

That is 7/20.

The same.

So the answer is right!

P = for over all = 77 + 13 = 720 ✓

Let's look back.

First: make it a fraction.

Then: read the fraction.

Then: write the odds.

Last: check.

Answer