Answer:
27
Step-by-step explanation:
Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
Find the difference
5/6-3/4 (you have to get the same denominators by multiply the individual fractions)
(5/6)*2 and (3/4)*3 to get a denominator of 12
10/12-9/12 (subtract numerators, leave denominator)
=1/12 which is the answer
Hope this helps<span />
Answer:
3/5*8/9=8/15; A
Explanation:
First, you want to multiply both of the numerators together. 3*8=24.
Then, you want to multiply both of the denominators together. 5*9=45.
If you put the numerator and the denominator together, it comes out to be 24/45.
Lastly, you want to simplify 24/45. Divide those both by 3, and you get 8/15.
Hope that helps!
