# Probability

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.

1. 👍 0
2. 👎 0
3. 👁 232
1. 1a(i) there are two O's, so P=(2/8)
1b(i) 4+ points are received with F1,F2,O1,O2,T1, and T2, so P=(6/8)
1b(ii) first toss O1 and O2. 3+ points are receive with F1,F2,T1,T2 and E. so P=(5/6)

In 2, put your information into a spreadsheet or table, and take it from there

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Dennis

How many ways can the letters of the word HAPPINESS be arranged. If H must start the word, N must end the word and the P's must be separated? [question from the topic FACTORIAL,PERMUTATION AND COMBINATION ]

2. ### Fragments Eng 1010

Each of the following word groups includes a subordinating word. One word group in each pair contains a fragment. Write “OK” after each complete sentence and “frag” after each fragment 1a. When John Lennon was a teenager,

3. ### geometry

In the English alphabet, there are 7 capital letters that look the same after being rotated 180∘. Those letters are H, I, N, O, S, X, and Z. How many different 3 letter "words" can be made from these letters such that when the

4. ### Maths

A word made by writing the seven letters used to spell "EXAMPLE" in some order. Find how many different 'words' are possible in each of the following cases. a) The first and the last letter are each "E" b) The two letters "E" are

1. ### English

What do Poe's letters to John Allan reveal about himself? The self-expression and logic in Poe's letters is also evident in his literature. A: Poe was a wealthy man upon publication of his poetry and short stories B: Poe had a

2. ### Social Studies

Which words and phrases that pertain to the New Testament. A. part of the Hebrew Bible B. Revelation C. Ten Commandments D.Gospels by Matthew, Mark, Luke, and John E. Epistles, including letters from Paul F. stories about creation

3. ### math 12

A soap company will give away a million dollars to everyone who guesses the order into which they have arranged the letters of the word SUPERCLEANER. Each entry must be in a separate envelope. How much would it cost you in postage

4. ### LANGUAGE ARTS

A SHORT WAY OF WRITING A WORD CONSISTING OF SOME OF THE LETTERS IN THE WORD FOLLOWED BY A PERIOD. What is an abbreviation? http://www.onelook.com/ a short way of writing a word consisting of some of the letters in the word

1. ### science

can you inscramble these letters to make 2 words first word 12 letters, 2nd word 5 letters ietnnrncuinvtohte Thank you for using the Jiskha Homework Help Forum again. I answered the first one I saw, which was just before this one!

2. ### Math

An office worker mails 25 envelopes to customers each day. Every envelope contains 3 reports with a paper clip on each one. The supply of paper clips is provided in boxes of 500. How many days will it take for the clerk to use up

3. ### English

Please check my answer thank you very much, (1)John was nice looking, and he did well in school. (2) however, John was also known for having a volatile personality. (3) one day, when his track coach criticized him, John lost his

4. ### Science/Math

Word Problem page 19 John and Al are in a 15 km race. John averages 4.4 m/s during the first half of the race and then runs at a speed of 4.2 m/s until the last 200 m, which he covers at 4.5 m/s. At what average speed must Al run