Reference no: EM132432410

Question 1: The owner of a juice bar, Sam, orders oranges from 3 suppliers, namely A, B and C. From past record, each box of oranges from suppliers A, B, C contains 1%, 3% and 10% rotten oranges respectively. Assume that Sam orders 70% of the oranges from supplier A, 15% of the oranges from supplier B and 15% of the oranges from supplier C. One morning, a box of oranges arrives but Sam does not know which supplier sent it. A random check is then conducted to see if the oranges are rotten. 

i. Find the probability that a randomly selected orange from the box is rotten.

ii. Find the probability that there are more than 1 rotten orange among 5 randomly selected oranges.

iii. Sam inspects 10 oranges, and finds that 1 is rotten. With this information, find the probability that the box comes from supplier C. 

Question 2: How many triangles can be formed by joining the vertices of an octagon?

Question 3: From a group of 6 men and 7 women, 5 persons are to be selected to form a committee so that there will be more women than men on the committee. In how many ways can this be done?

Question 4: A box contains 2 red balls, 4 blue balls and 3 green balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?