BASIC CONCEPTS OF PROBABILITY for grade 10.pptx

it is about basic concept of probability

1. B asic Concepts of Probability

2. B asic Concepts of Probability

3. B asic Concepts of Probability

4. Probability - is a field of mathematics that deals with chance.

5. Experiment - is an activity in which the results cannot be predicted with certainty. Each repetition of an experiment is called Trial. Outcome - is a result of an experiment.

6. Event - is any collection of outcomes, and a simple event is an event with only one possible outcome.

7. Sample space - is the set of all possible outcomes of an experiment.

8. 1. Tossing a coin. The event that a head will occur.

9. Tossing a coin. The event that a head will occur. Sample space= {H,T} Event={H}

10. 2. Rolling a die. The event that even numbers appears.

11. Rolling a die. The event that even numbers appears. Sample space= {1,2,3,4,5,6} Event={2,4,6}

12. 3. Rolling a die and tossing a coin. The event that a tail and odd number will come out.

13. Rolling a die and tossing a coin. The event that a tail and odd number will come out. Sample space= {1H,2H,3H,4H,5H,6H, 1T,2T,3T,4T,5T,6T} Event={1T,3T,5T}

14. 4. Identical number cards (1,2,3,4,5,6,7,8,9,10) are placed in a box and a card is drawn at random. The event that the number drawn is prime.

15. Identical number cards (1,2,3,4,5,6,7,8,9,10) are placed in a box and a card is drawn at random. The event that the number drawn is prime. Sample space- {1,2,3,4,5,6,7,8,9,10} Event- {2,3,5,7}

16. Try this! Write the sample space (S) for each experiment. Tossing two coins Tossing three coins Rolling a pair of dice.

17. Try this! Write the sample space (S) for each experiment. Tossing two coins S= {HH,HT,TH,TT} 2. Tossing three coins S={HHH,HHT,HTH,HTT,TTT,THH,THT,TTH} 3. Rolling a pair of dice. 1 2 3 4 5 6 1 (1,1) (2,1) (3,1) (4,1) (5,1) (6,1) 2 (1,2) (2,2) (3,2) (4,2) (5,2) (6,2) 3 (1,3) (2,3) (3,3) (4,3) (5,3) (6,3) 4 (1,4) (2,4) (3,4) (4,4) (5,4) (6,4) 5 (1,5) (2,5) (3,5) (4,5) (5,5) (6,5) 6 (1,6) (2,6) (3,6) (4,6) (5,6) (6,6)

18. Try this! For each of the given experiment , list the event corresponding to each description. Three coins are tossed. _____Event A: all come up heads. _____Event B: all come up tails. _____Event C: two come up heads and one come up tail. _____Event D: at least one come up heads.

19. Try this! For each of the given experiment , list the event corresponding to each description. Three coins are tossed. S= {HHH,HHT,HTT,HTH,TTT,THH,TTH,THT} _{HHH}_ Event A: all come up heads. _{TTT}_ Event B: all come up tails. __{HHT,HTH,THH}_ Event C: two come up heads and one come up tail. _{HHH,HHT,HTT,HTH,THH,TTH,THT_ Event D: at least one come up heads.

20. 2. Two dice are rolled. Event A: double (same number of dots). Event B: the sum of the number is 6. Event C: the sum of the number is 4 Event D: the sum of the number is 5.

21. 2. Two dice are rolled. Event A: double (same number of dots). _{(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}_ Event B: the sum of the number is 6. _{(1,5),(2,4),(3,3),(4,2),(5,1)}_ Event C: the sum of the number is 4. _{(1,3),(2,2),(3,1)}_ Event D: the sum of the number is 5. _{(1,4),(2,3),(4,1),(3,2)}_