There are two boxes containing only orange and blue pens.Box A has 9 blue pens and 6 orange pens.Box B has 11 blue pens and 9 orange pens.A pen is randomly chosen from each box.List these events from least likely to most likely.Event 1: choosing a blue pen from Box A.Event 2: choosing a blue pen from Box B.Event 3: choosing an orange pen from Box B.Event 4: choosing a green pen from Box A.Least likely Most likelyEvent , Event , Event , Event
Question
There are two boxes containing only orange and blue pens.Box A has 9 blue pens and 6 orange pens.Box B has 11 blue pens and 9 orange pens.A pen is randomly chosen from each box.List these events from least likely to most likely.Event 1: choosing a blue pen from Box A.Event 2: choosing a blue pen from Box B.Event 3: choosing an orange pen from Box B.Event 4: choosing a green 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 blue pen from Box A is 9 out of the total number of pens in Box A (9 blue + 6 orange = 15 pens). So, the probability is 9/15 = 0.6.
Event 2: The probability of choosing a blue pen from Box B is 11 out of the total number of pens in Box B (11 blue + 9 orange = 20 pens). So, the probability is 11/20 = 0.55.
Event 3: The probability of choosing an orange pen from Box B is 9 out of the total number of pens in Box B (11 blue + 9 orange = 20 pens). So, the probability is 9/20 = 0.45.
Event 4: The probability of choosing a green pen from Box A is 0, because there are no green pens in Box A.
So, the events from least likely to most likely are:
Least likely: Event 4 (choosing a green pen from Box A) Next: Event 3 (choosing an orange pen from Box B) Next: Event 2 (choosing a blue pen from Box B) Most likely: Event 1 (choosing a blue 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.
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?
Box A contains 5 red and 4 blue balls, Box Bcontains 2 red and 5 blue balls. A ball is drawnat random from each box. Find the probabilitythat one is red and the other is blue.
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.