Question: For the following questions, write your answers using a black pen on your own paper. Show all necessary working. Marks are given for correct

For the following questions, write your answers using a black pen on your own paper. Show all necessary working. Marks are given for correct working. 6 A bucket contains four black and three white balls. Two balls are randomly selected without replacement. What is the probability that the balls are : (a) both white? (b) white and black? (c) both the same colour? (d) If the first ball is black, what is the probability of the second ball being black? 7 In a certain strain of plant the probability that a seed will produce a pink flower is (a) What is the probability that the seed produces some other colour? (b) If two seeds are randomly selected, what is the probability that at least one seed will produce pink flowers? (c) Determine the least number of seeds that must be planted so that the probability of obtaining at least one pink flower exceeds 0.99. 8 A box contains 30 light globes. 4 are defective. Two are picked at random. What is the probability that (a) the first globe picked is defective? (b) both are defective? (c) neither one is defective? (d) at least one is defective?

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