MAKE YOUR OWN CHOICE

HIGH SCHOOL "MATHEMATICS" PROBABILITY QUIZ

2014-08-25T15:39:00.000+03:00

Probability

1. The probability that a man will be alive in 20 years is ³/₄ and the probability that his wife will also be alive in 20 years is ⁴/₅. Find the probability that at least one of them will be alive in 20years.

2. A paper bag A contains 3 red ball gums and 5 yellow ones. Another paper B contains 4 red ball gums and 6 yellow ones. A paper bag is chosen at random and a ball gum is picked from it, Find the probability that the ball gum is yellow.

3. Three boys, Otieno, Kamau and Mutiso compete a word puzzle. The probabilities of getting it correct for each of them is as follows. Otieno ³/₅, Kamau ²/₃ and Mutiso ³/₄. Find the probability that

a. None of them gets it correct

b. At least one gets it correct.

c. Exactly one gets it correct

d. Exactly two gets it correct given that Kamau has it correct.

4. In a unique knockout beach volley ball that involves three teams A, B and C, teams A and B must start playing. Only the team that wins the game one proceeds to play team C. The chances that B wins in the first game are ³/₅. If B does not win, the chance that C eventually wins in the next match is ⁵/₇. If B wins the first game, the chance that it again wins the second game against C is ⁴/₇.

a. Draw a tree diagram to represent this information.

b. Find the probability that

i. Team A emerges the eventual winner

ii. Team B does not eventually win.

iii. Team C emerges the eventual winner.

iv. Team C does not eventually win.

5. The probability that James will be selected for the school’s basketball team is ²/₅ and the probability that Ken will not be selected for the same team is ²/₇. Fid the probability that

a. Both will be selected.

b. At least one will be selected.

6. The probability that a student passes mathematics paper one is ³/₅. The probability that he passes paper two depends on whether or not he passes paper one, and is ¹/₂ if he passes paper one and ³/₁₀ if he fails. Find the probability that he passes in only one paper.

7. If the probability that it is raining when you go to school is ¹/₃ and that it is not raining when you come out of school is ¹/₆, what is the probability that it is raining

a. On both occasions

b. On one occasion and not in the other.

8. A room is lit by two light bulbs, A and B. The probability of light A failing is ¹/₁₀ and that of light B failing is ¹/₁₂. Find the probability that

a. Both are working

b. There’s some light in the room.

9. There are two packets of sweets labelled A and B. Packet A contains 4 yellow, 3 red and 5 green sweets while packet B contains 3 yellow, 7 red and 5 green sweets. A child selects a packet at random and picks a sweet from it. Determine the probability that he picks a yellow sweet.

10. The probability that a day is wet is ³/₅. The probability that I wear gumboots on a wet day is ⁴/₉ and that I wear gumboots on a dry day is ³/₈. Find the probability that

a. I will wear gumboots

b. It will be wet and I wear gumboots.

c. It will not be wet and I will not wear gumboots.

11. Tom has 5 white balls and 4 blue balls in a bag. He draws out one ball at a time without replacing if in the bag. Use a tree diagram to find the probability that he will get two balls of different colours in the first two draws.

12. A student travels to school by either bus of matatu. The probability that he travels by bus is ²/₃. If he travels by bus, the probability that he will be late is ¹/₄ while if he travels by matatu, the probability that he will not be late is ³/₅. Find the probability that he

a. Travels by matatu and gets late

b. Does not get late.

13. The probability of Martin passing in mathematics is ⁷/₁₀. If he passes, the probability of joining a computer college is ⁴/₉ and when he fails is ¹/₅. Using a tree diagram, find the probability that he passes and fails to join the computer college.

14. Every afternoon during preps time, Peter either reads a novel of solves Mathematics questions. The probability that he reads a novel is ⁴/₅. If he reads a novel, the probability that he falls asleep is ³/₄ otherwise it is ¹/₄. Sometimes the teacher on duty enters Peter’s classroom. When Peter is asked whether he had been asleep, the probability of him admitting is ¹/₅ and ³/₅ that he will claim to have been asleep when he had been awake. Find the probability that

a. He sleeps and admits it

b. He sleeps and does not admit it

c. He does not sleep but claims to have been asleep.

d. He does not sleep and says that he was not asleep.

15. In a science class, ²/₃ of the class are boys and the rest are girls. ⁴/₅ of the boys and ⁹/₁₀ of the girls are right-handed. The probability that a right-handed student will break a test-tube in any session is ¹/₁₀ and that for a left-handed student is ³/₁₀.

a. Draw a tree diagram to represent this information.

b. Determine the probability that

i. A student chosen at random from the class is left-handed.

ii. A test-tube is broken in any session.

LONGEST SERVING AFRICAN LEADERS

2012-03-29T22:14:00.000+03:00

I have no option but just to mention some of the longest serving African leaders. I always believe in the Rule of One being born as a leader, but these seems different when greed rules. South African president: Nelson Mandera was one of some of the Chosen Leaders in African.
When you open the file am interested with, President Teodoro Obiang Nguema Mbaso (69 yrs old) of Equatorial Guinea is the leading with 32 yrs 7 months. Second is President Jose Eduardo Dos santos of Angola-(69 yrs), with 32 yrs 6 months in office. This shows how these Men are competing to break the record as Bolt runs 100 metres to set a record.
President Robert Mugabe (88 yrs) comes 3rd with 31 yrs 11 months of grounding the economy of Zimbabwe. Forthy is President Denis Sassou Nguesso (68 yrs)- 28 yrs-Congo Republic.
Otherwise, before I end I can't forget President Yoweri Museveni (67)- 26 yrs 2 months- Uganda. I have to admit that most of them fought had to overthrow the previous Governments but why can't they surrender power to other Citizens.
I congraturate President daniel Arap Moi for being the president of Kenya for 24 yrs and took the right decision.
If Presidents are not going to obey the law in Afica, then Africa will continue to shed Blood and Uprisings will be the Voice of the Citizens.

BOLD AND ITALICIZE YOU LIFE

2012-02-21T18:24:00.003+03:00

We do think that it is an easy task, but I have just realized that life needs one to be serious and Simple. We only have the opportunity to change our lives for the better, but we won't do much if we conclude that the mess has been done.

The medicine to Changing your way of life is to examine what you have already done in the past and what you are doing at the present. Then, you have to take a Knife using your left hand and separate all your acts into two. Ensure you do that carefully without messing with any part.

I do remember the Butcher man in our Village who used to say, "My blood is more than Yours," just because he used to drink a litre of blood per day. I just believed that then only to later realize that this was not real. We should ensure that whatever that we know or hear isn't always the right thing on this delicate universe. We believed that Pluto was one of the Nine planets, only that to be discarded after further research disaproved the early one.

We live in a world of Diguise, where there is no hope at all, but I do feel that our living God is witnessing what is happening in this world. We should Make our bodies as the Lord requires but not as we require. Why eat Sausages when you Know that you will Vomit afterwards. I feel strongly that as Human beings we are Pure and our deeds Should not Contaminate our lives.

Life and Experiences

2011-05-09T22:49:00.000+03:00

Life is Sometimes Strange and imponderable! Both the failures and Successes have their roots in simple experiences. When I completed my A-level I thought I was at a good position of being recognized in my community but all in all it wasn't the case. I went on with my studies and Now i have my first degree in Education (Mathematics and Physics). This simple experiences are what motivates my life n-way