# Question Video: Determining the Probability of Compound Events Mathematics

A card is drawn from a deck of cards numbered from 1 to 37. What is the probability that the number on the card is even?

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### Video Transcript

A card is drawn from a deck of cards numbered from one to 37. What is the probability that the number on the card is even?

We are told in the question that we have a deck of 37 cards numbered from one to 37 as shown. We are asked to find the probability that a selected card is even. We know that even numbers end in the digits two, four, six, eight, or zero, whereas odd numbers end in the digit one, three, five, seven, or nine. This means that there are 18 even numbers from one to 37.

We know that we can write the probability of an event occurring as a fraction where the numerator is the number of favorable outcomes and the denominator is the total number of outcomes. If a card is drawn from a deck of cards numbered one to 37, then the probability that the number on the card is even is 18 out of 37.