Question

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced, then a second marble is drawn
A. What is the probability of selecting a purple marble and then a white marble?
B. What is the probability of selecting 2 white marbles?
C. Is there a greater chance of selecting 2 white marbles in a row or 2 purple marbles in a row? Show your work!

Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled from 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes. Show your work?

Answer 1

A. likely

B. unlikely

C. There is a greater chance in picking to purple marbles because there are less of the white and more purple.

Hallie should spin the wheel because u have a greater chance of landing on a 5 then rolling two number cubes and hoping both number cubes come to equal 5.

Answer 2

Two white marbles: probability first is white is \frac{2}{9} probability second is white given that the first is white is \frac{1}{8} again probability both happen is \frac{2}{9}\times \frac{1}{8}

Hope this helps.