There are two boxes containing only purple and yellow pens.Box A has 8 yellow pens and 8 purple pens.Box B has 9 yellow pens and 11 purple pens.A pen is randomly chosen from each box.List these events from least likely to most likely.Event 1: choosing a purple pen from Box B.Event 2: choosing a yellow pen from Box B.Event 3: choosing a yellow or purple pen from Box A.Event 4: choosing a yellow pen from Box A.Least likely Most likelyEvent , Event , Event , Event
Question
There are two boxes containing only purple and yellow pens.Box A has 8 yellow pens and 8 purple pens.Box B has 9 yellow pens and 11 purple pens.A pen is randomly chosen from each box.List these events from least likely to most likely.Event 1: choosing a purple pen from Box B.Event 2: choosing a yellow pen from Box B.Event 3: choosing a yellow or purple pen from Box A.Event 4: choosing a yellow pen from Box A.Least likely Most likelyEvent , Event , Event , Event
Solution
To answer this question, we first need to calculate the probability of each event:
Event 1: The probability of choosing a purple pen from Box B. There are 20 pens in total in Box B (9 yellow + 11 purple). So, the probability is 11/20 = 0.55.
Event 2: The probability of choosing a yellow pen from Box B. There are 20 pens in total in Box B (9 yellow + 11 purple). So, the probability is 9/20 = 0.45.
Event 3: The probability of choosing a yellow or purple pen from Box A. Since all pens in Box A are either yellow or purple, the probability of this event is 1 (or 100%).
Event 4: The probability of choosing a yellow pen from Box A. There are 16 pens in total in Box A (8 yellow + 8 purple). So, the probability is 8/16 = 0.5.
Now, we can list these events from least likely to most likely:
Least likely: Event 2 (choosing a yellow pen from Box B) Next: Event 1 (choosing a purple pen from Box B) Next: Event 4 (choosing a yellow pen from Box A) Most likely: Event 3 (choosing a yellow or purple pen from Box A)
Similar Questions
A box contains 9 white 4 black and 7 red pens. Three pens are selected in succession without replacement. What is the probability if the first pen is red, second is black and third is also red
A box contains 3 plain pencils and 3 pens. A second box contains 1 color pencil and 9 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected?Write your answer as a fraction in simplest form.
There are two bags containing only green and yellow marbles.Bag A has 2 green marbles and 3 yellow marbles.Bag B has 4 green marbles and 16 yellow marbles.A marble is randomly chosen from each bag.List these events from least likely to most likely.Event 1: choosing a green or yellow marble from Bag B.Event 2: choosing an orange marble from Bag A.Event 3: choosing a green marble from Bag A.Event 4: choosing a green marble from Bag B.Least likely Most likelyEvent , Event , Event , Event
A box contains only red, blue and green pens.The ratio of red pens to blue pens is 5 : 9.The ratio of blue pens to green pens is 1 : 4.Calculate the percentage of pens that are blue.
In a bag, there are 6 black pens, 4 blue pens, and 5 red pens. If three pens are drawn without replacement, what is the probability that the first pen is black, the second pen is blue, and the third pen is red?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.