Questions on probability


  1. A bag contains eight green beads and six red beads. if two beads are picked at random from the bag:
  (i) Draw a tree diagram to represent the information above (3 marks)

(ii) Find the probability that:

(a) both beads are red (2 marks)

(b) both beads are green (1 mark)

(c) The two beads are of different colors (2 marks)

(d) at least one bead is read (2 marks)




2. A box contains 3 red balls, 3 blue balls and 2 green balls. All
the balls are identical except for the color. Two balls are picked
at random from the box one at a time without replacement.
(a) Using a tree diagram, show all the possible outcomes (2marks)

(b) Use the tree diagram to calculate the probability that:
(i) both balls are red (2 marks)
(ii) one ball is red and the other is green (3 marks)
(iii)both balls are of different colors (3 marks)