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.
Question
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.
Solution
To solve this problem, we need to calculate the probability of each event separately and then multiply them together.
-
First, let's calculate the probability of selecting a plain pencil from the first box. There are 3 plain pencils out of a total of 6 items (3 pencils + 3 pens), so the probability is 3/6 = 1/2.
-
Next, let's calculate the probability of selecting a color pencil from the second box. There is 1 color pencil out of a total of 10 items (1 pencil + 9 crayons), so the probability is 1/10.
-
Finally, we multiply these two probabilities together to get the overall probability of both events happening. So, 1/2 * 1/10 = 1/20.
Therefore, the probability that a plain pencil from the first box and a color pencil from the second box are selected is 1/20.
Similar Questions
A box containing 2 red pencils, 3 yellow pencils, 4 green pencils and 1 blue pencil.Two pencils are drawn at random without replacement. What is the probability of picking a yellow pencil on the first draw and a red pencil on the second draw?Responses 1151 over 15 5195 over 19
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
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?
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
A box contains 9 socks, of which 4 are red and 5 are blue. We draw two socks from the box.What is the probability that they are of the same colour?
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.