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# Probability 4

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### Probability 4

1. 1. Probability An Overview
2. 2. Write Down the sample space when a coin is tossed Twice <ul><li>S={(H,H),(H,T),(T,H),(T,T)} </li></ul>
3. 3. Write down the sample space when a Dice is Thrown Twice
4. 4. Answer (6,6)} (5,6) (4,6) (3,6) (2,6) (1,6) (6,5) (5,5) (4,5) (3,5) (2,5) (1,5) (6,4) (5,4) (4,4) (3,4) (2,4) (1,4) (6,3) (5,3) (4,3) (3,3) (2,3) (1,3) (6,2) (5,2) (4,2) (3,2) (2,2) (1,2) (6,1) (5,1) (4,1) (3,1) (2,1) {(1,1)
5. 5. Questions 3 <ul><li>Three unbiased coins are tossed what is the probability of obtaining </li></ul><ul><ul><li>A) All Heads </li></ul></ul><ul><ul><li>B) Two Heads </li></ul></ul><ul><ul><li>C) Atleast one head </li></ul></ul><ul><ul><li>D) Atleast two heads </li></ul></ul><ul><ul><li>E) All Heads </li></ul></ul>
6. 6. Questions no 4 <ul><li>Two Unbiased dice are Thrown find the probability that </li></ul><ul><li>1) Both the dice show the same number </li></ul><ul><li>2) one dice shows five </li></ul><ul><li>3)first dice shows five </li></ul><ul><li>4)The total of the number on the dice is eight </li></ul><ul><li>5)Total of the numbers of dice < 8 </li></ul>
7. 7. Question No 5 <ul><li>A ball is drawn from a bag contain 4 white, 6 black and 5 green balls. Find the probability that a ball is drawn is </li></ul><ul><ul><li>White </li></ul></ul><ul><ul><li>Green </li></ul></ul><ul><ul><li>Black </li></ul></ul><ul><ul><li>Not green </li></ul></ul><ul><ul><li>Green or white </li></ul></ul>
8. 8. Answers <ul><ul><li>White=4/15 </li></ul></ul><ul><ul><li>Green=5/15 </li></ul></ul><ul><ul><li>Black=6/15 </li></ul></ul><ul><ul><li>Not green=10/15 </li></ul></ul><ul><ul><li>Green or white=9/15 </li></ul></ul>
9. 9. Question No 6 <ul><li>A card is drawn from a pack of cards. What is the probability that </li></ul><ul><ul><ul><li>Black cards </li></ul></ul></ul><ul><ul><ul><li>A King </li></ul></ul></ul><ul><ul><ul><li>A Queen </li></ul></ul></ul><ul><ul><ul><li>Spade </li></ul></ul></ul><ul><ul><ul><li>Spade King </li></ul></ul></ul><ul><ul><ul><li>A king or Queen </li></ul></ul></ul>
10. 10. Questions No 7 <ul><li>What is the probability that a leap year select at random will contain 53 Sundays </li></ul>
11. 11. Answers <ul><li>In a leap year there are 366 days I.e. 52 weeks and more days </li></ul><ul><li>Naturally there will be 52 Sundays and 2 days combinations may be either these </li></ul><ul><li>S={(S,M)(M,T),(T,W),(W,T),(T,F),(F,S)(S,S)=2/7 </li></ul>