Question

Calculate the following questions:
(i) Calculate the probability of:
(a)2 Tossing four coins and all coming out Heads;
(b)2 The first two numbers coming out in the UK Lottery being in the 30s;
(c)2 Being the fourth person selected from a group of 12;
(d)2 Taking a brown chip from each of three bags, all with 16 chips in total of which 8 are brown in one bag, 10 are brown in another bag and 6 are brown in the final bag;
(ii) In a factory, there were 18 accidents involving machinery in the last six months.
(a)2 State the probability distribution that can describe the number of accidents in the factory in any single month;
(b)2 Calculate the probability that there will be 2 accidents in the factory next month;
(c)3 Calculate the probability that there will be less than 3 accidents in the factory during the next two months.

Answer 1

i)

a) Probability of tossing 4 coins and all coming out to be heads=

b) Probability of being the 4th person selected from a group of 12=

c)Probability of taking a brown chip from each of three bags, all with 16 chips in total of which 8 are brown in one bag, 10 are brown in another bag and 6 are brown in the final bag=

ii)

a)The probability distribution that can describe the number of accidents in the factory in any single month=P(X=x)=

b) Probability that there will be 2 accidents next month =

c)The probability that there will be less than 3 accidents in the factory during the next two months.=