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Chapter 3 Data Handling Ex 3.4 Solutions

Question - 1 : -
Tell whether the following is certain to happen, impossible, can happen but not certain.
(i) You are older today than yesterday.
(ii) A tossed coin will land heads up.
(iii) A die when tossed shall land up with 8 on top.
(iv) The next traffic light seen will be green.
(v) Tomorrow will be a cloudy day.

Answer - 1 : -

(i) It is certain to happen.
(ii) It can happen but not certain.
(iii) 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) It can happen but not certain.
(v) It can happen but not certain.

Question - 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?
(ii) What is the probability of drawing a marble with number 5?

Answer - 2 : -

(i) 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) 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)

Question - 3 : - A coin is flipped to decide which team starts the game. What is the probability that your team will start?

Answer - 3 : -

A coin has two facesone is Head and other one is Tail.

Now, one team canchoose either Head or Tail.

Probability of ourteam starts first= Number of favourable outcomes/

Number of possibleoutcomes

= ½

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