- Tell whether the following is certain to happen, impossible, can happen but not certain.
(i) You are older today than yesterday.
Solution:
Chance: It is certain to happen.
(ii) A tossed coin will land heads up.
Solution:
Chance: It can happen but not certain.
(iii) A die when tossed shall land up with 8 on top.
Solution:
Chance: It is impossible because, there are only six faces on a die that is marked as 1, 2, 3, 4, 5, and 6 on it.
(iv) The next traffic light seen will be green.
Solution:
Chance: It can happen but not certain.
(v) Tomorrow will be a cloudy day.
Solution:
Chance: It can happen but not certain.
- There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.
(i) What is the probability of drawing a marble with number 2?
Solution:
Given,
Total number of marbles marked with the number from 1 to 6 = 6
Now,
Probability of drawing a marble with number 2 = Number of favourable outcomes/
Number of possible outcomes
= (1/6)
Hence, the required probability is (1/6)
(ii) What is the probability of drawing a marble with number 5?
Solution:
Given,
There are 6 marbles in the box with numbers from 1 to 6 are marked.
Now, number or marble marked with 5 = 1
Now,
Probability of drawing a marble with number 5 = Number of favourable outcomes/
Number of possible outcomes
= (1/6)
Hence, the required probability is (1/6)
- A coin is flipped to decide which team starts the game. What is the probability that your team will start?
Solution:
We know that a coin has two faces one is Head (H) and another one is Tail (T).
Now, one team can choose either Head or Tail.
So, Sample space (Sn) = 2
The probability of our team starts first= Number of favourable outcomes/
Number of possible outcomes
= ½
Hence, the required probability is (1/2)
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