a set of building blocks includes blocks of various shapes and colors. if 10% of the blocks are cubes, and 40% of the cube blocks are red, then what percentage of the blocks are red cubes
Assuming the colours are uniformly distributed over the shapes, we can use the multiplication rule to get
P(red cubes)=P(red)*P(cubes)=0.4*0.1=0.04
To find the percentage of the blocks that are red cubes, we need to multiply the percentage of blocks that are cubes (10%) by the percentage of cube blocks that are red (40%).
First, convert 10% to a decimal by dividing by 100:
10% = 10/100 = 0.1
Then, convert 40% to a decimal:
40% = 40/100 = 0.4
Finally, multiply the decimals to find the percentage of blocks that are red cubes:
0.1 * 0.4 = 0.04
To convert the decimal to a percentage, multiply by 100:
0.04 * 100 = 4%
Therefore, 4% of the blocks are red cubes.