Question

I walk into the Psych department and notice that there is a large box of differently colored pens and pencils being given away for free. There are: 8 red pens 4 red pencils 6 blue pens 10 blue pencils 15 black pens Report all probabilities as a decimal rounded to FOUR decimal places. YOU MUST SHOW YOUR WORK TO GET FULL CREDIT! What is the probability of reaching in twice and first pulling out a blue item and then either a red pencil or a black pen WITH REPLACEMENT

Answer 1

= 2608/8729 which is approx. 30%

Explanation:

Probability (Blue, Red Pencil OR Black Pen)

= 16/43 x (4/14 + 15/29)

= 16/43 x 163/203

= 2608/8729