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NAME

qquad DATE 
qquad PEAIOD 
qquad
12-2
Skills Practice
Probability of Compound Events
For Exercises 1-6, a number cube is rolled and the spinner at the right is spun. Find each probability.


P((1)/(6)and ((A)/(4))=(1)/(24):}

P (ogd and 
B )

P (prime and 
D)

P (greater than 4 and 
C )

P (less than 3 and consonant)

P (prime and consonant)
What is the probability of spinning the spinner above 3 times and getting a vowel each time?
What is the probability of rolling a number cube 3 times and getting a number less than 3 each time?

Each spinner at the right is spun. Find each probability.
9. 
P(A and 2)
10. 
P (vowel and even)
11. 
P( consonant and 1 )
12. 
P(D and greater than 1
)
There are 3 red, 1 blue, and 2 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find each probability.
13. 
P( red and then yellow)
14. 
P (blue and then yellow)
15. 
P (red and then blue)
16. P(two yellow marbles)
17. 
P (two red marbles in a row)
18. 
P (three red marbles)
GAMES There are 13 yellow cards, 6 blue, 10 red, and 8 greed cards in a stack of cards turned face down. Once a card is selected, it is not replaced. Find each probability.
19. 
P(2 blue cards)
20. 
P(2 red cards)
21. P(a yellow card and
22. P(a blue card and then a green card) then a red card)
23. 
P (two cards that are not red)
24. P(two cards that are neither red or green)

NAME\newline \qquad DATE \qquad PEAIOD \qquad \newline12122-2\newlineSkills Practice\newlineProbability of Compound Events\newlineFor Exercises 116-6, a number cube is rolled and the spinner at the right is spun. Find each probability.\newline11. P(16andA4=124 P\left(\frac{1}{6} \operatorname{and} \frac{A}{4}=\frac{1}{24}\right. \newline22. P P (ogd and B B )\newline33. P P (prime and D) \mathrm{D}) \newline44. P P (greater than 44 and C C )\newline55. P P (less than 33 and consonant)\newline66. P P (prime and consonant)\newline77. What is the probability of spinning the spinner above 33 times and getting a vowel each time?\newline88. What is the probability of rolling a number cube 33 times and getting a number less than 33 each time?\newlineEach spinner at the right is spun. Find each probability.\newline99. \qquad 22 and 22)\newline1010. P P (vowel and even)\newline1111. \qquad 44 consonant and 11 )\newline1212. \qquad 55 and greater than 11 \qquad 66\newlineThere are 33 red, 11 blue, and 22 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find each probability.\newline1313. \qquad 44 red and then yellow)\newline1414. P P (blue and then yellow)\newline1515. P P (red and then blue)\newline1616. P(two yellow marbles)\newline1717. P P (two red marbles in a row)\newline1818. P P (three red marbles)\newlineGAMES There are 1313 yellow cards, 66 blue, 1010 red, and 88 greed cards in a stack of cards turned face down. Once a card is selected, it is not replaced. Find each probability.\newline1919. \qquad 22 blue cards)\newline2020. \qquad 22 red cards)\newline2121. P(a yellow card and\newline2222. P(a blue card and then a green card) then a red card)\newline2323. P P (two cards that are not red)\newline2424. P(two cards that are neither red or green)

Full solution

Q. NAME\newline \qquad DATE \qquad PEAIOD \qquad \newline12122-2\newlineSkills Practice\newlineProbability of Compound Events\newlineFor Exercises 116-6, a number cube is rolled and the spinner at the right is spun. Find each probability.\newline11. P(16andA4=124 P\left(\frac{1}{6} \operatorname{and} \frac{A}{4}=\frac{1}{24}\right. \newline22. P P (ogd and B B )\newline33. P P (prime and D) \mathrm{D}) \newline44. P P (greater than 44 and C C )\newline55. P P (less than 33 and consonant)\newline66. P P (prime and consonant)\newline77. What is the probability of spinning the spinner above 33 times and getting a vowel each time?\newline88. What is the probability of rolling a number cube 33 times and getting a number less than 33 each time?\newlineEach spinner at the right is spun. Find each probability.\newline99. \qquad 22 and 22)\newline1010. P P (vowel and even)\newline1111. \qquad 44 consonant and 11 )\newline1212. \qquad 55 and greater than 11 \qquad 66\newlineThere are 33 red, 11 blue, and 22 yellow marbles in a bag. Once a marble is selected, it is not replaced. Find each probability.\newline1313. \qquad 44 red and then yellow)\newline1414. P P (blue and then yellow)\newline1515. P P (red and then blue)\newline1616. P(two yellow marbles)\newline1717. P P (two red marbles in a row)\newline1818. P P (three red marbles)\newlineGAMES There are 1313 yellow cards, 66 blue, 1010 red, and 88 greed cards in a stack of cards turned face down. Once a card is selected, it is not replaced. Find each probability.\newline1919. \qquad 22 blue cards)\newline2020. \qquad 22 red cards)\newline2121. P(a yellow card and\newline2222. P(a blue card and then a green card) then a red card)\newline2323. P P (two cards that are not red)\newline2424. P(two cards that are neither red or green)
  1. Calculate Vowel Probability: Calculate the probability of spinning a vowel three times consecutively. The spinner has 44 vowels (A, E, I, O) out of 66 possible outcomes (A, B, C, D, E, I, O). The probability of spinning a vowel once is 46\frac{4}{6} or 23\frac{2}{3}.
  2. Calculate Vowel Probability Consecutively: Since each spin is independent, the probability of spinning a vowel three times is (23)×(23)×(23)=827(\frac{2}{3}) \times (\frac{2}{3}) \times (\frac{2}{3}) = \frac{8}{27}.
  3. Calculate Number Cube Probability: Calculate the probability of rolling a number less than 33 on a number cube three times consecutively. Numbers less than 33 on a cube are 11 and 22, so the probability for one roll is 26\frac{2}{6} or 13\frac{1}{3}.
  4. Calculate Number Cube Probability Consecutively: Since each roll is independent, the probability of rolling a number less than 33 three times is (13)×(13)×(13)=127(\frac{1}{3}) \times (\frac{1}{3}) \times (\frac{1}{3}) = \frac{1}{27}.

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