Answer:
The exact probability that all three marbles drawn will be red is [tex]\frac{1}{56}[/tex]
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 4
Number of Green marbles = 7
Total Number of marbles = 5+4+7=16
We are given that three marbles are drawn out of the bag
Probability of getting 1 red marble on first draw=[tex]\frac{5}{16}[/tex]
Probability of getting 1 red marble on second draw= [tex]\frac{4}{15}[/tex]
Probability of getting 1 red marble on third draw=[tex]\frac{3}{14}[/tex]
So,the exact probability that all three marbles drawn will be red=[tex]\frac{5}{16} \times \frac{4}{15} \times \frac{3}{14}=\frac{1}{56}[/tex]
Hence The exact probability that all three marbles drawn will be red is [tex]\frac{1}{56}[/tex]
