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?
"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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