1. A BOX CONTAINS 3 YELLOW, 2 BLUE, AND 4 REDPENCILS. SUPPOSE YOU CHOOSE A PENCI

Question

1.   A BOX CONTAINS 3 YELLOW, 2 BLUE, AND 4 REDPENCILS. SUPPOSE YOU CHOOSE A PENCIL, REPLACE, THEN CHOOSE ANOTHER.FIND THE PROBABILITY OF CHOOSING YELLOW, THEN RED. 2. REFER TO PROBLEM 1. FIND THE PROBABILITY OF CHOOSING BLUE,THEN YELLOW. 3.SUPPOSE YOU CHOOSE A PENCIL FROM THE BOX IN PROBLEM 1 ANDTHEN CHOOSE ANOTHER PENCIL WITHOUT REPLACING THE FIRST ONE. FINDTHE PROBABILITY OF CHOOSING BLUE, THEN RED. 4. REFER TO 3. FIND THE PROBABILITY OF CHOOSING YELLOW THENBLUE.. 1.   A BOX CONTAINS 3 YELLOW, 2 BLUE, AND 4 REDPENCILS. SUPPOSE YOU CHOOSE A PENCIL, REPLACE, THEN CHOOSE ANOTHER.FIND THE PROBABILITY OF CHOOSING YELLOW, THEN RED. 2. REFER TO PROBLEM 1. FIND THE PROBABILITY OF CHOOSING BLUE,THEN YELLOW. 3.SUPPOSE YOU CHOOSE A PENCIL FROM THE BOX IN PROBLEM 1 ANDTHEN CHOOSE ANOTHER PENCIL WITHOUT REPLACING THE FIRST ONE. FINDTHE PROBABILITY OF CHOOSING BLUE, THEN RED. 4. REFER TO 3. FIND THE PROBABILITY OF CHOOSING YELLOW THENBLUE..

Explanation / Answer

1.Total number of pencils: 3+2+4 = 9 pencils total 3 yellow, 2 blue, 4 red. You will be doing probability with replacement. probability of choosing yellow is 3/9 probability of choosing red is 4/9 probability of choosing yellow than red is, 4/27 2. probability of choosing a blue is 2/9 probability of choosing a yellow is 3/9 Multiply them together to find the probability of choosing ablue and then yellow. = 2/27 3. Now you will be doing replacement. probability of choosing blue is 2/9, leaving you with 8pencils probability of choosing red now is 4/8 proability of these events happening together is 1/9 4. probability of choosing 3/9, leaving you with 8 pencils probability of choosing blue now is 2/8 probability of these events coinciding is 1/12

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