Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is even is $\frac{3}{7}$
Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.

Answer

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Answer

Solve the equation for E in terms of O: $E = \frac{3}{4}O$. The simplest ratio of even cards to odd cards is $\boxed{3:4}$

Steps

Step 1 ：We are given the probability of choosing an even card as $\frac{3}{7}$. Let E be the number of even cards and O be the number of odd cards. We can write the probability as a fraction: $\frac{E}{E + O} = \frac{3}{7}$

Step 2 ：Solve the equation for E in terms of O: $E = \frac{3}{4}O$. The simplest ratio of even cards to odd cards is $\boxed{3:4}$

Lucy has some number cards that each have a whole number on them.If she chooses a card at random, the probability that the number on it is even is $\frac{3}{7}$Work out the ratio of even cards to odd cards that Lucy has.Give your answer in its simplest form.

Answer

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Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is even is $\frac{3}{7}$
Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.