Question

From a group of 10 children, a team of 5 (the red team) is randomly chosen....

From a group of 10 children, a team of 5 (the red team) is randomly chosen. The remaining 5 children are in the blue team. Two of the children, Andy and Ollie, are best friends. What is the probability they get, to be on the same team?

the answer is 28/63... but I want to know how to get that...

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Case - I: When both Andy and Ollie are chosen for red team.

Then remaining students will be 8 from which we need to choose 3 children. Hence,

Probability of this event =

Case - 2: When Andy and Ollie both doesn't get selected

So from remaining 8 students, we need to choose 5. Hence,

Probability of such event =

Therefore,

P(Andy and Ollie are in the same team)

= 28/63

= 4/9

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Assume that 10 people will be randomly chosen to be on the committee from a group...
Assume that 10 people will be randomly chosen to be on the committee from a group of 28 volunteers, 20 who are technically proficient and eight who are not. Find the probability that three on the committee are technically proficient.
There are 10 balls in a bag. 3 are red, 5 are white, 2 are blue....
There are 10 balls in a bag. 3 are red, 5 are white, 2 are blue. You are to randomly choose two balls, taking one out and then another with replacement. What is the probability you will get two blue balls?
There are 10 balls in a bag. 3 are red, 5 are white, 2 are blue....
There are 10 balls in a bag. 3 are red, 5 are white, 2 are blue. You are to randomly choose two balls, taking one out and then another without replacement. What is the probability that you will get two red balls?
An urn contains two red balls and three white balls. If a ball is chosen at...
An urn contains two red balls and three white balls. If a ball is chosen at random, what is the probability that it is white? Group of answer choices 0 1 2/5 1/5 3/5 An urn contains two red balls and three white balls. Suppose two balls are drawn randomly. What is the probability that both will be white? Group of answer choices 1/10 3/20 6/20 9/20 9/25
From a group of 10 boys and 12 ​girls, a committee of 5 students is chosen...
From a group of 10 boys and 12 ​girls, a committee of 5 students is chosen at random. a. What is the probability that all 5 members on the committee will be​ girls? b. What is the probability that all 5 members of the committee will be​ boys? c. What is the probability that there will be at least 1 girl on the​ committee? (please show all the work, as I am very confused)
You and two of your friends are in a group of 10 people. The group is...
You and two of your friends are in a group of 10 people. The group is randomly split up into two groups of 5 people each. Specify an appropriate sample space and nd the probability that you and your two friends are in the same group.
Three balls are randomly chosen from an urn containing 3 white, 4 red and 5 black...
Three balls are randomly chosen from an urn containing 3 white, 4 red and 5 black balls. Suppose one will win $1 for each white ball selected, lose 1$ for each red ball selected and receive nothing for each black ball selected. Let Random Variable X denote the total winnings from the experiment. Find E(X).
Three balls are randomly chosen from an urn containing 3 white, 3 red, and 5 blackballs....
Three balls are randomly chosen from an urn containing 3 white, 3 red, and 5 blackballs. Suppose that we win $1 for each white ball selected, and lose $1 for each red ball selected. If X denotes our total winnings from the experiment, then: a) What values can X take? b) What is the PMF of X? c) Show that this is a valid PMF.
An urn contains 4 red balls and 6 green balls. Three balls are chosen randomly from...
An urn contains 4 red balls and 6 green balls. Three balls are chosen randomly from the urn, without replacement. (a) What is the probability that all three balls are red? (Round your answer to four decimal places.) (b) Suppose that you win $50 for each red ball drawn and you lose $25 for each green ball drawn. Compute the expected value of your winnings.
One ball is chosen at random from a bag containing 12 red balls, 3 yellow balls,...
One ball is chosen at random from a bag containing 12 red balls, 3 yellow balls, and 5 green balls. i. If 1000 trials are completed (with replacement), about how many times would you expect to select a red ball? ii. If two balls are selected at random without replacement, what is the probability that they are both red? Write your answer as a decimal rounded to 3 decimal places.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT