Answer:
The probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
Step-by-step explanation:
Number of red marbles = 12
Number of green marbles = 8
Total number of marbles = 12+8 = 20
Probability of selecting red marble =[tex]\frac{12}{20}[/tex]
Since it is the case of no replacement
Remaining marbles = 20-1 = 19
Number of red marbles = 12-1=11
Number of green marbles = 8
Probability of selecting green marble =[tex]\frac{8}{19}[/tex]
So, the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag =[tex]\frac{12}{20} \times \frac{8}{19}=\frac{24}{95}[/tex]
Hence the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
