Question

THERE ARE ONLY BLUE CUBES, YELLOW CUBES AND GREEN CUBES IN A BAG. THERE ARE TWO TIMES AS MANY BLUE CUBES AS YELLOW CUBES AND SEVEN TIMES AS MANY GREEN CUBES AS BLUE CUBES BILLY TAKES AT RANDOM A CUBE FROM THE BAG WHAT IS THE PROBABILITY THAT BILLY TAKES A YELLOW CUBE GIVE YOUR ANSWER IN ITS SIMPLEST FORM

Answer 1

The probability of Billy taking a yellow cube from the bag is 1/17, after simplifying the ratio of yellow cubes to the total number of cubes based on the given relationships between the colors.

Step-by-step explanation:

The question revolves around finding the probability of selecting a yellow cube from a bag containing blue, yellow, and green cubes in a specific ratio. We are given that the number of blue cubes is double the number of yellow cubes, and the number of green cubes is seven times the number of blue cubes. Let's assume the number of yellow cubes is y. Hence, there will be 2y blue cubes and 7(2y) green cubes, which is 14y green cubes.

To find the probability of Billy picking a yellow cube, we need to determine the total number of cubes in the bag, which are y + 2y + 14y = 17y. The probability of selecting a yellow cube is then the number of yellow cubes divided by the total number of cubes, resulting in P(yellow) = y / 17y, which simplifies to 1/17.