A box is filled with 6 yellow cards, 6 red cards, and 2 green cards. A card is chosen at random from the box. What is the probability that the card is not red?Write your answer as a fraction in simplest form.
Question
A box is filled with 6 yellow cards, 6 red cards, and 2 green cards. A card is chosen at random from the box. What is the probability that the card is not red?Write your answer as a fraction in simplest form.
Solution
To solve this problem, we first need to determine the total number of cards. We have 6 yellow cards, 6 red cards, and 2 green cards, which gives us a total of 14 cards.
The question asks for the probability that the card chosen is not red. This means we are interested in the yellow and green cards, which total 8 cards (6 yellow + 2 green).
Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, the favorable outcomes are the 8 cards that are not red, and the total number of outcomes is the 14 cards in the box.
So, the probability that the card chosen is not red is 8/14.
However, this fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
So, the probability that the card chosen is not red, in simplest form, is 4/7.
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