Answer to Question #216240 in Statistics and Probability for Lucas

Question #216240

A basket contains 12 black marbles, 14 red marbles and 12 green marbles. What is the probability of picking a black marble first then a red marble as replacement?


1
Expert's answer
2021-07-12T17:35:36-0400

"Black\\:marbles=12"

"Red\\:marbles=14"

"\\:Green\\:marbles=12"

"Total\\:marbles=38"


"P\\left(picking\\:black\\:marble\\right)=\\frac{12}{38}"

"P\\left(picking\\:red\\:marble\\right)=\\frac{14}{38}"

"\\:P\\left(picking\\:green\\:marble\\right)=\\frac{12}{38}"

Therefore, the probability of picking the first black marble and then the second red marble with replacement is:

"P\\left(black\\:marble\\:then\\:red\\:marble\\right)=\\frac{12}{38}\\times \\frac{14}{38}=\\frac{42}{361}"


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