SOLUTION: A box contains five avocados and seven mangos. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Find the probability of selecting

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains five avocados and seven mangos. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Find the probability of selecting      Log On


   



Question 1202679: A box contains five avocados and seven mangos. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. Find the probability of selecting the first piece of fruit as an avocado and the second piece is a mango.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
total fruit in the box is 12.
there are 5 avocadoes and 7 mangoes.
probability of getting an avocado on the first draw is 5/12.
probability of getting a mango on the second draw is 7/11.
the reason:
before the first draw, the box contains 5 avocadoes and 7 mangoes out of a total of 12.
once you withdraw an avocado, the box now contains 4 avocadoes and 7 mangoes out of a total of 11 fruits that are left in the box.
the probability of first drawing an avocado and then drawing a mango, witout replacing the avocado, is 5/12 * 7/11 = (5*7)/(11*12) = 35/132.