Maths activity: To get familiar with the idea of probability of an event through throwing a dice.
Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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NCERT Class 10 Maths Lab Manual – Probability
NCERT Class 10 Maths Lab Manual – Probability
Objective
To set the idea of probability of an event through a double colour cards experiment.
Prerequisite Knowledge
Sample space and event.
Total number of possible outcomes.
Favourable outcomes.
Probability of an event = \frac{No.offavourable\quad outcomes}{Total\quad no.of\quad Possible\quad outcomes}.
Material Required
A cardboard of size 18 cm x 18 cm, two colour papers say pink and blue, pair of dice, empty box, pair of scissors, sketch pens, fevicol, etc.
Procedure
Paste different colour papers, blue and pink on both sides of the board, (such that pink on one side and blue on another side)
Divide the board into 36 small squared cards.
Write all 36 possible outcomes obtained by throwing two dice, e.g., for the outcome (4,5), write 4 on the blue side and 5 on pink side.
Cut and put all the cards into a box.
Now take out each card one by one without replacement and write the observation in appropriate column.
Observation
Total number of possible outcomes =
Total number of favourable outcomes of sum 2 =
Total number of favourable outcomes of sum 3 =
Total number of favourable outcomes of sum 4 =
Total number of favourable outcomes of sum 5=
Total number of favourable outcomes of sum 6 =
Total number of favourable outcomes of sum 7 =
Total number of favourable outcomes of sum 8 =
Total number of favourable outcomes of sum 9 =
Total number of favourable outcomes of sum 10 =
Total number of favourable outcomes of sum 11 =
Total number of favourable outcomes of sum 12 =
Total number of favourable outcomes (sum ≥11) =
Total number of favourable outcomes (sum >12) =
Total number of favourable outcomes (sum < 7) =
Using formula calculate the required Probability of each event.
Sample space (when two dice are thrown)
NCERT Class 10 Maths Lab Manual - Probability 1
Example: Number of favourable outcomes of sum of numbers 2=1
Total outcomes = 36
∴ Probability of sum of numbers is 2 = \frac { 1 }{ 36 }
Similarly find other probabilities for different outcomes of sum.
Result
Probability of an event = \frac{No.offavourable\quad outcomes}{Total\quad no.of\quad Possible\quad outcomes}