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)
Answer:
1. List the prime factors of each number
2. Multiply those factors both factors have in common. If there are no common prime factors the GCF is 1.
Step-by-step explanation:
Use the factor tree method
In order to determine the total points scored by Jeremy's quarterback, we simply need to multiply the actions performed by the quarterback with the pointing system. In this case we have the following equation:
(6)(2) + (0.5)(16) + (-0.5)(7) + (-1.5)(2) = 13.5
Thus, Jeremy's quarterback scored a total of 13.5 points in one game.
Distance divided by time is speed. To find the rate of speed, divide 40 yards by 4.24 seconds which is approximately 9.43 yards per second.<span> 9.43 yards per second is the rate of speed.</span><span>
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