Question

You have a total of 12 cards in four different colors. The probability of drawing a green card is the same as the probability of drawing a yellow card. The probability of drawing a red card is 1-4 and of drawing a blue card is 1-12. How many green cards are in the box

Answer 1

Answer:

4

Step-by-step explanation:

Let's start with the easiest bits.

     We know the probability of drawing a red card is 1/4, this means every four cards there is one red. So, 12/4 = 3, there are 3 red cards in the 12 card pile.

    Next, we are also given the probability of drawing a blue card us 1/12. In the same fashion, we can figure out there is 1 blue card.

Finally, we are told the probability of drawing a green card is the same as drawing a yellow card. Therefore there is the same amount of green cards as yellow.

There are 8 cards left that are green or yellow, as 12 - 1 - 3 is 8. 8/2 is 4, so there are 4 green cards in the box.

Hope this helps!