math question
1-A medical clinic tests blood for certain disease from which approximately on person in a hundred
suffers. People come to the clinic in group of 50. The operator of the clinic wonders whether he can
increase the efficiency of the testing procedure by conducting pooled tests. In the pooled test, the
operator would pool the 50 blood samples and test them altogether. If the polled test was negative,
he could pronounce the whole group healthy. If not, he could then test each person’s blood individually.
The expected number of tests the operator will have to perform if he pools the blood samples
are.
2-
The game of “chuck” is played at carnivals in some parts of Europe Its rules are as follows: if you
pick a number from 1 to 6 and the operator rolls three dice. If the number you picked comes up on
all three dice, the operator pays you •3; if it comes up on two dice, you are paid •2; and if it comes
up on just on die, you are paid •1. Only if the number you picked does not come up at all, you pay
the operator •1. The probability that you will win money playing in this game is
