Answer:
The diver will check fewer clams to find his 15th pearl. He will check 15 clams which is 2 clams less than the 17 clam chance given by the 10% probability.
Step-by-step explanation:
CLAM
This is a marine animal that has two shells and live by straining food from water, sand, or mud. They can sometimes found by digging the sand close to the seashore. Like mussels, they can produce pearls, but not as often.
PEARL
They are gems that come in various colors like white, red, gray, blue, green, and black. They are very beautiful and are typically spherical, some also come in an uneven form such as the baroque pearls.
The probability of find pearl inside a clam according to the question is 10%.
P (find pearl in clam) = =
If we have to check 175 clams to look for pearls, how many clams are we expected to search in other to find pears given a 10% probability out of 175
P (clam with pearl)= =17.5
Which is approximately 17 clams
For the diver to find his 15th pearl, he has to check with a minimum chance of checking 15 clams. But the 10% probability of finding a pearl inside a total of 175 clams is 17 clams.
This means the diver will check fewer clams to find his 15th pearl.