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Practice Session - Understand
A glass jar contains a total of

//cfw//test// practice-session/a1449?cratelD=a1449&pa ckID=ab2e7ba&qgCount=9b1c6 &qgList =b218a16&classld =b98c905da&assignmentld=b9a
A glass jar contains a total of 46 marbles. The jar has yellow, blue, and green marbles. There are 4 blue marbles, 5 green marbles, and the rest are yellow. Determine which event has a probability closest to 1.
A. Picking a green marble
B. Picking a yellow marble
C. Picking a red marble
D. Picking a blue marble
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Session Timer: 3:21
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Desk 1

Practice Session - Understand\newlineA glass jar contains a total of\newline/cfw/test/ / \mathrm{cfw} / \mathrm{test} / practice-session/a14491449?cratelD=a14491449\&pa ckID=ab22e77ba\&qgCount=99b11c66 \&qgList =b218218a1616\&classld =b9898c905905da\&assignmentld=b99a\newlineA glass jar contains a total of 4646 marbles. The jar has yellow, blue, and green marbles. There are 44 blue marbles, 55 green marbles, and the rest are yellow. Determine which event has a probability closest to 11.\newlineA. Picking a green marble\newlineB. Picking a yellow marble\newlineC. Picking a red marble\newlineD. Picking a blue marble\newlineReset\newlineSubmit\newline22 of 1010 Answered\newlineSession Timer: 33:2121\newlineSession Score: 50% 50 \% \newlineDesk 11

Full solution

Q. Practice Session - Understand\newlineA glass jar contains a total of\newline/cfw/test/ / \mathrm{cfw} / \mathrm{test} / practice-session/a14491449?cratelD=a14491449\&pa ckID=ab22e77ba\&qgCount=99b11c66 \&qgList =b218218a1616\&classld =b9898c905905da\&assignmentld=b99a\newlineA glass jar contains a total of 4646 marbles. The jar has yellow, blue, and green marbles. There are 44 blue marbles, 55 green marbles, and the rest are yellow. Determine which event has a probability closest to 11.\newlineA. Picking a green marble\newlineB. Picking a yellow marble\newlineC. Picking a red marble\newlineD. Picking a blue marble\newlineReset\newlineSubmit\newline22 of 1010 Answered\newlineSession Timer: 33:2121\newlineSession Score: 50% 50 \% \newlineDesk 11
  1. Find Yellow Marbles: First, let's find out the total number of yellow marbles since we know the total number of marbles and the number of blue and green marbles.\newlineTotal marbles = 4646\newlineBlue marbles = 44\newlineGreen marbles = 55\newlineYellow marbles = Total marbles - (Blue marbles + Green marbles)\newlineYellow marbles = 46(4+5)46 - (4 + 5)\newlineYellow marbles = 46946 - 9\newlineYellow marbles = 3737
  2. Calculate Probabilities: Now, let's calculate the probability of picking a marble of each color.\newlineThe probability of picking a green marble P(Green)P(\text{Green}) is the number of green marbles divided by the total number of marbles.\newlineP(Green)=Number of green marblesTotal number of marblesP(\text{Green}) = \frac{\text{Number of green marbles}}{\text{Total number of marbles}}\newlineP(Green)=546P(\text{Green}) = \frac{5}{46}
  3. Compare Probabilities: The probability of picking a yellow marble P(Yellow)P(\text{Yellow}) is the number of yellow marbles divided by the total number of marbles.P(Yellow)=Number of yellow marblesTotal number of marblesP(\text{Yellow}) = \frac{\text{Number of yellow marbles}}{\text{Total number of marbles}}P(Yellow)=3746P(\text{Yellow}) = \frac{37}{46}
  4. Event with Closest Probability to 11: The probability of picking a blue marble P(Blue)P(\text{Blue}) is the number of blue marbles divided by the total number of marbles.P(Blue)=Number of blue marblesTotal number of marblesP(\text{Blue}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}}P(Blue)=446P(\text{Blue}) = \frac{4}{46}
  5. Event with Closest Probability to 11: The probability of picking a blue marble P(Blue)P(\text{Blue}) is the number of blue marbles divided by the total number of marbles.P(Blue)=Number of blue marblesTotal number of marblesP(\text{Blue}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}}P(Blue)=446P(\text{Blue}) = \frac{4}{46}Since there are no red marbles mentioned in the problem, the probability of picking a red marble P(Red)P(\text{Red}) is zero.P(Red)=046P(\text{Red}) = \frac{0}{46}P(Red)=0P(\text{Red}) = 0
  6. Event with Closest Probability to 11: The probability of picking a blue marble P(Blue)P(\text{Blue}) is the number of blue marbles divided by the total number of marbles.P(Blue)=Number of blue marblesTotal number of marblesP(\text{Blue}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}}P(Blue)=446P(\text{Blue}) = \frac{4}{46}Since there are no red marbles mentioned in the problem, the probability of picking a red marble P(Red)P(\text{Red}) is zero.P(Red)=046P(\text{Red}) = \frac{0}{46}P(Red)=0P(\text{Red}) = 0To find the event with the probability closest to 11, we compare the probabilities calculated for green, yellow, blue, and red marbles.P(Green)=546P(\text{Green}) = \frac{5}{46}P(Yellow)=3746P(\text{Yellow}) = \frac{37}{46}P(Blue)=446P(\text{Blue}) = \frac{4}{46}P(Red)=0P(\text{Red}) = 0The probability closest to 11 is P(Yellow)=3746P(\text{Yellow}) = \frac{37}{46}.

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