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A Bag Has Blue (B)green(G) and Yellow (M) Cubes in It. There Is at Least One of Each of the Three Colours. The Teacher Says: If You

Question

A bag has blue (B)green(G) and yellow (M) cubes in it. There is at least one of each of the three colours. The teacher says: If you take a cube at random out of the bag. the probability that it will be green is (3)/(5) There are 20 cubes in the bag. What is the greatest number of yellow cubes there could be in the bag? square I

Answer

4.6 (287 Votes)
Verificación de expertos
Morris Elite · Tutor for 8 years

Answer

Let's perform the calculations:### ### So, the greatest number of yellow cubes there could be in the bag is 6.

Explanation

## Step 1:First, we need to understand the problem. We know that the probability of picking a green cube is . This means that 3 out of every 5 cubes in the bag are green. ## Step 2:We also know that there are 20 cubes in the bag. To find out how many of these are green, we multiply the total number of cubes by the probability of picking a green cube.### ### ## Step 3:Perform the multiplication to find the number of green cubes.## Step 4:Since there is at least one cube of each color, we subtract the number of green cubes and 2 (one blue and one yellow) from the total number of cubes to find the maximum number of yellow cubes.###