Answer to Question #4133 in Statistics and Probability for Rahul
Question #4133
Three groups if children contains respectively 3 girls and 1 boy, 2 girls and 2 boys, and 1 girl and 3 boys. One child is selected at random from each group. Show that the chance that 3 selected consists of 1 girl and 2 boys is 13/32.
Expert's answer
The probability of selecting of 1 boy from the first group is 1/4, 1 girl 3/4
The probability of selecting of 1 boy from the second group is 1/2, 1 girl 1/2
The probability of selecting of 1 boy from the third group is 3/4, 1 girl 1/4.
The probability of selecting of 1 girl and 2 boys is
P(girl from I group) AND P(boy from II group) AND P(boy from III group) OR
P(boy from I group) AND P(girl from II group) AND P(boy from III group) OR
P(boy from I group) AND P(boy from II group) AND P(girl from III group)
In Math it equals to (AND = "*", OR = "+"):
3/4*1/2*3/4 + 1/4*1/2*3/4 + 1/4*1/2*1/4 = 9/32 + 3/32 + 1/32 = 13/32
The probability of selecting of 1 boy from the second group is 1/2, 1 girl 1/2
The probability of selecting of 1 boy from the third group is 3/4, 1 girl 1/4.
The probability of selecting of 1 girl and 2 boys is
P(girl from I group) AND P(boy from II group) AND P(boy from III group) OR
P(boy from I group) AND P(girl from II group) AND P(boy from III group) OR
P(boy from I group) AND P(boy from II group) AND P(girl from III group)
In Math it equals to (AND = "*", OR = "+"):
3/4*1/2*3/4 + 1/4*1/2*3/4 + 1/4*1/2*1/4 = 9/32 + 3/32 + 1/32 = 13/32
Need a fast expert's response?
Submit orderand get a quick answer at the best price
for any assignment or question with DETAILED EXPLANATIONS!
Ask Your question
I love using Assignment Expert!! I have received all A’s and one B. They were very thorough in completing my assignment. Everything that was required, they did. Thank you all so much for your help!!
#218646 on Nov 2018
#218646 on Nov 2018 
Comments
Very helpful for assingnments
Dear ali,
You are welcome. We are glad to be helpful.
If you liked our service please press a like-button beside the answer field. Thank you!
Please use the panel for submitting new questions.
thankfully to solve these assessment sir
Dear abhi.
Your question is not related to this one. Please post your question as a new one at our site.
An urn A contains 2 white & 4 black balls. Another urn B contains 5 white & 7 black balls. A ball is transferred from urn A to urn B, then a ball is drawn from urn B. Find the probability that it is white
Leave a comment