Conditional Probability

                      Lesson 1

                                                                                                                       

                                                             Problem:                   What is the probability of choosing O or H from letters of word ORTHOGRAPHIC?

                                                             Step 1:                     Probability of choosing O, P (A) = 2/12

                                                  

                                      

                                                                                 Solution                          Probability of choosing H, P (B) = 2/12

                                                             Step 2:                                                                             

                                                                                 

                                                                                 Solution                          Probability of choosing O or H = P (A) + P (B) – P (A and B)

                                                             Step 3:      

                                                                                                                                                        = 2/12 + 2/12 – 0

                                                                                                                                                        = 4/12

 Step 4:                     The answer is:  1/3

                                                                       

 Complete                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

A. The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
   
   
B. At Kennedy Middle School, the probability that a student takes Technology and Spanish is 0.087. The probability that a student takes Technology is 0.68. What is the probability that a student takes Spanish given that the student is taking Technology?

                                                                        

        

 

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