Probability

posted by .

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.

PLEASE HELP

  • Probability -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 ?
  2. maths please check my answer

    paul orders a pizza. chef carl randomly chooses two different toppings to put on the pizza from the following:~ pepperoni, onion, sausage, mushrooms and anchovies. if paul does not eat pizza with mushrooms, determine the probablity …
  3. math

    Riena has six unmarked CDs in a box, where each is dedicated to exactly one of English, mathematics, French, American history, chemistry, and computer science. Answer the following questions: a. If she chooses a CD at random, what …
  4. probability

    The odds against Paul Phillips winning the 100 yard dash are 7:2. Determine the probability that: • a) Paul wins. • b) Paul does not win. How do I set this up to find out the equation/answer?
  5. Probability/Statistics

    A secretary addresses 50 different letters and envelopes to 50 different people, but the letters are randomly mixed before being put into envelopes. What is the probability that at least one letter gets into the correct envelope?
  6. math

    susan, joanne, and diane are triplets. susan has red, blue, green, and yellow sweaters. janne has green, red, purple, and white sweaters. diane's sweaters are red, blue, purple, and mauve. each girl has only one sweater of each color, …
  7. Math, Mathematics

    A bag contains tiles with the letters P-R-O-B-A-B-I-L-I-T-Y. Tyler chooses a tile without looking and doesn’t replace it. He chooses a second tile without looking. What is the probability that he will choose the letter I both times?
  8. math

    The probability that Ryan chooses Spanish is 0.86 and the probability that Riley chooses Spanish is 0.73. State the probability that: a. they both chose Spanish b neither of them choose Spanish c. only one of them chooses Spanish d. …
  9. algebra

    A bag contains 9 marbles: 2 are green, 4 are red, and 3 are blue. Laura chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue?
  10. Math Check! FAST!

    A bag contains tiles with the letters A-R-I-T-H-M-E-T-I-C. Amelia chooses a tile without looking and doesn’t replace it. She chooses a second tile without looking. What is the probability that she will choose the letter I both times?

More Similar Questions