3.We have looked in detail at three probability distributions (binomial, geometric, hypergeometric). For each one:(3 marks each)

a)Explain the conditions in which we would use it.

b)Justify the formula used.

c)Give an example of a situation in which it could be used.

4.Two standard six-sided dice are rolled. One die is blue, and the other is red.(8 marks)

a)make a table to represent the sample space.

b)For each probability below, express the answer as a fraction, as a decimal, and as a percentage.

• What is the probability of rolling a sum greater than ten?
• What is the probability that the number on the red die is one larger than the number on the blue die?
• What is the probability that the sum of the two numbers is less than 11?