Question

WEEK 3 DISCUSSION ("YOU CAN FOOL ALL THE PEOPLE SOME OF THE TIME, AND SOME OF THE PEOPLE ALL OF THE TIME, BUT YOU CAN'T FOOL ALL THE PEOPLE ALL THE TIME") BUT, LET'S TRY. YOU COME UP WITH A PROBLEM FOR YOUR CLASSMATES TO SOLVE INVOLVING THE ADDITION RULE, MULTIPLICATION RULE, PERMUTATIONS (WITH OR WITHOUT REPLACEMENT), OR COMBINATIONS (WITH OR WITHOUT REPLACEMENT). HOWEVER, THE PROBLEM YOU POST IS ALSO ONE OF YOUR HOMEWORK PROBLEMS AND YOU MUST GIVE ITS PROBLEM TYPE AND A CORRECT SOLUTION THERE. FOR "REVIEWS" SOLVE THE PROBLEMS OF TWO (2) CLASSMATES FIRST TELLING WHICH TYPE PROBLEM IT IS (E.G., ADDITION RULE), THEN SHOWING YOUR WORK WITH YOUR ANSWER (CORRECT ANSWERS TO BE PROVIDED NEXT WEEK: WEEK 4).

Answer 1

A problem in Addition Rule with Full Solution For Discussion:

PROBLEM:

ADDITION RULE:

The probability of solving a problem by Student A is 0.5. The probability of solving the same problem by Student B is 0.4. Find the probability that the problem is solved.

Given:
P(A) = 0.5

P(B) = 0.4

By theorem:

To find :

By Addition Theorem:

                     = 0.5 + 0.4 - 0.2 = 0.7

So,

the probability that the problem is solved is:

0.7