Posted by Anonymous on Sunday, May 4, 2008 at 11:44am.
1.John puts the letters of the word FOOTFEST in 8 different envelopes. Paul chooses an envelope at random.
(a)(i)Calculate the probability that Paul chooses an envelope containg letter O (1/8 ?)
(ii)Calculate the probability tthat Paul doesn't chooses an envelope(5/8?) containing the letter E or the letter T
Points are to be won depending on the letter chosen;F=6,O=5,T=4,E=3,S=2
(b)(i)Calculate the probability that Paul obtains at least 4 points.
(ii)Calculate the probability that Paul obtains more than 2 points without choosing the letter O.
After selecting an envelope,Paul throws an unbiased coin:-if the coin shows tails,the points are doubled -if the coin shows heads,the points remain the same.
After selecting an envelope and after throwing the coin,the possible points obtained are:2,3,4,5,6,7,8,10,12
(c)(i)Calculate the probability that Paul obtains 6 points
(ii)Calculate the probability that Paul obtains no more than 10 points.
2.The daily production from a car factory=3 different models-A,B,C which are in two different colours-R and S.
Daily the factory produces 1600 model A cars,800 of model B and 600 of model C. Overall,40% of the cars are of colour R,60% of colour S.60% of of the model A cars are of colour R.
As a percentage of production,there are 3 times as many colour R cars of model B compared to that of model C.
(a)Show that 192 model B cars of colour R are produced daily.
((b)Put the info all this info in a table)
(c)If a car is chosen at random,calculate the probability that it is a model C car in colour S.
(d)Two cars are selected at random from a day's production.Calculate the probability that:
(i)neither of the cars is a model C in colour S.
(ii)at least one car's a model C in colour S.
(iii)the two cars are both model C but of different colours.
(iv)the two cars have the same colour.
Answer this Question
More Related Questions
- Probability - 1.John puts the letters of the word FOOTFEST in 8 different ...
- Probability/Statistics - A secretary addresses 50 different letters and ...
- 5th grade math - mrs jones wrote 8 personal letters and addressed 8 envelopes to...
- stastics - Imagine that you have 10 CDs and 10 envelopes on a table before you; ...
- math - The probability that Ryan chooses Spanish is 0.86 and the probability ...
- Maths - 1)A two-figure number is written down at random. Find the probability ...
- math - susan, joanne, and diane are triplets. susan has red, blue, green, and ...
- math - Riena has six unmarked CDs in a box, where each is dedicated to exactly ...
- probability - The odds against Paul Phillips winning the 100 yard dash are 7:2...
- Probability - You type four letters to four different people and address the ...