1. Drawing a red card from a deck of cards, then drawing another red card without replacing the first one.
2. Rolling a number cube and flipping a coin at the same time.
3. P (5) = 1/6 and P (blue) = 2/5. Since these are independent events, we can multiply their probabilities together to get: P (5 and blue) = P (5) x P (blue) = 1/6 x 2/5 = 1/15.
4. P (odd number) = 3/6 = 1/2 and P (yellow) = 1/5. Since these are independent events, we can multiply their probabilities together to get: P (odd number and yellow) = P (odd number) x P (yellow) = 1/2 x 1/5 = 1/10.
5. P (green) = 5/30, or 1/6. Then, since we did not replace the green gum ball, P (yellow) = 8/29. Since these are dependent events, we can multiply their probabilities together to get: P (green, then yellow) = P (green) x P (yellow|green) = 1/6 x 8/29 = 8/174, or approximately 0.046.
1. Which of the following is an example of a dependent event?
2. Which of the following is an example of an intendent event?
3. The number cube shown is rolled and the spinner shown is spun. Find P (5 and blue).
4. The number cube shown is rolled and the spinner shown is spun. Find p (and odd number and yellow).
5. There are 9 red gum balls, 5 green gum balls, 8 yellow gum balls, and 8 blue gum balls in a machine. Find p (green, then yellow).
3 answers
The answer to the question:
1. Which of the following is an example of a dependent event?
A. Flipping two coins
B. Rolling a number cube and spinning a spinner
C. Choosing a card from a deck, replacing it, then choosing another card
D. Choosing a cookie at random, eating it, and then choosing another at random.
2. Which of the following is an example of an intendent event?
A. Choosing one sock at random from your drawer, putting it on, and then choosing another at random.
B. Flipping a coin and rolling a number cube
C. Choosing students at random for basketball teams
D. Removing a marble from a bag, and then choosing without replacing the first.
3. The number cube shown is rolled and the spinner shown is spun. Find P (5 and blue).
A. 4/6
B. 1/24
C. 1/16
D. 1/9
4. The number cube shown is rolled and the spinner shown is spun. Find p (and odd number and yellow).
A. 1/4
B. 3/4
C.3/5
D. 3/20
5. There are 9 red gum balls, 5 green gum balls, 8 yellow gum balls, and 8 blue gum balls in a machine. Find p (green, then yellow).
A. 40/900
B. 5/30
C. 8/30
D. 40/870
1. Which of the following is an example of a dependent event?
A. Flipping two coins
B. Rolling a number cube and spinning a spinner
C. Choosing a card from a deck, replacing it, then choosing another card
D. Choosing a cookie at random, eating it, and then choosing another at random.
2. Which of the following is an example of an intendent event?
A. Choosing one sock at random from your drawer, putting it on, and then choosing another at random.
B. Flipping a coin and rolling a number cube
C. Choosing students at random for basketball teams
D. Removing a marble from a bag, and then choosing without replacing the first.
3. The number cube shown is rolled and the spinner shown is spun. Find P (5 and blue).
A. 4/6
B. 1/24
C. 1/16
D. 1/9
4. The number cube shown is rolled and the spinner shown is spun. Find p (and odd number and yellow).
A. 1/4
B. 3/4
C.3/5
D. 3/20
5. There are 9 red gum balls, 5 green gum balls, 8 yellow gum balls, and 8 blue gum balls in a machine. Find p (green, then yellow).
A. 40/900
B. 5/30
C. 8/30
D. 40/870
1. C. Choosing a card from a deck, replacing it, then choosing another card (dependent because the probability of choosing the second card is affected by the choice of the first card)
2. A. Choosing one sock at random from your drawer, putting it on, and then choosing another at random (independent because the choice of the first sock does not affect the probability of choosing the second sock)
3. C. 1/16
4. D. 3/20
5. A. 40/900
2. A. Choosing one sock at random from your drawer, putting it on, and then choosing another at random (independent because the choice of the first sock does not affect the probability of choosing the second sock)
3. C. 1/16
4. D. 3/20
5. A. 40/900