David, a painter, has 9 jars of paint: 4 are black, 2 are yellow, and the rest are brown. David will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no black paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of black paint 4) J2, if the paint contains exactly 1 jar of black paint What is the probability that the new colour will be a shade of J (J1 or J2)?
Choose one.
A) 42/37
B) 21/37
C) 37/42
D) 18/37
E) 8/37
the probability that it would be J1 or J2 is same as 1-()probability that it is 37/421 or 37/422   For 37/421-337/422(Brown)*237/421(Yellow)=3*2= 
<gadget id="calculator">3*2</gadget>
<output>6</output>
6   For 37/422-337/423(all brown)=1   Total=937/423=84   1-7/84=77/84= 37/42   Answer : 37/42
<result>C</result>
David, a painter, has 9 jars of paint: 4 are black, 2 are yellow, and the rest are brown. David will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no black paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of black paint 4) J2, if the paint contains exactly 1 jar of black paint What is the probability that the new colour will be a shade of J (J1 or J2)?