Exercise 3.4 Page: 76
1. Tell whether the following is certain to happen, impossible, can happen but not certain.
(i) You are older today than yesterday.
Solution:-
It is certain to happen.
(ii) A tossed coin will land heads up.
Solution:-
It can happen but not certain.
(iii) A die when tossed shall land up with 8 on top.
Solution:-
It is impossible. Because, there are only six faces on a die is marked as 1, 2, 3, 4, 5, and 6 on it.
(iv) The next traffic light seen will be green.
Solution:-
It can happen but not certain.
(v) Tomorrow will be a cloudy day.
Solution:-
It can happen but not certain.
2. 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:-
From the question, it is given that
There are 6 marbles in the box with numbers from 1 to 6 are marked.
Probability of drawing a marble with number 2 = Number of favourable outcomes/
Number of possible outcomes
= (1/6)
(ii) What is the probability of drawing a marble with number 5?
Solution:-
From the question, it is given that
There are 6 marbles in the box with numbers from 1 to 6 are marked.
Probability of drawing a marble with number 5 = Number of favourable outcomes/
Number of possible outcomes
= (1/6)
3. A coin is flipped to decide which team starts the game. What is the probability that your team will start?
Solution:-
A coin has two faces one is Head and other one is Tail.
Now, one team can choose either Head or Tail.
Probability of our team starts first= Number of favourable outcomes/
Number of possible outcomes
= ½