Answer:
63/3465
Step-by-step explanation:
A small pond contains nine catfish and two bluegill.
Total number of fish = 9 catfish + 2 blue hill
= 11 fishes
Probability of picking one catfish = P(C) = P(9/11)
Probability of picking one bluegill = P(B) = P(2/11)
If nine fish are caught at random, the probability that all of them are catfish is calculated as:
= P(9 Catfish) = 9/11 × 8/10 × 7/9 × 6/8 × 5/7 × 4/6 × 3/5 × 2/4 × 1/3
= 362880/19958400
Further simplifying to the simplest fraction:
= 189/10395
= 63/3465
