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# Mathematics Class 7 Chapter 3 – Data Handling – Exercise 3.4 – NCERT Exercise Solution

1. 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.

1. 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)

1. 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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