(Problem a) The events are dependent because you're looking for a specific product.
(Problem b) Now, assuming that the cubes have six faces:
P(blue is less than 3)= 2/6 = 1/3
The product is 8; 1*8=8, but there is no 8 on a die. So blue must be 2 and yellow must be 4; 2*4=8. Since there is a 1/6 chance for each die (Six faces per die), you multiply 1/6*1/6 = 1/36 chance.
Now add the P(blue is less than 3) = 1/3
1/36 + 1/3 = ?
1/36 + 12/36 = 13/36
Therefore, P(blue is less than 3 and the product is 8)= 13/36
Hope this helps :)
Two number cubes are rolled- one blue and one yellow. Find the probability that the blue cube is less than 3 and the product is 8.
a) Is this event independent or dependent? Explain why.
b) Find the probability that the blue cube is less than 3 and the product is 8.
1 answer
2 answers