## NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.4

**NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Exercise 3.4**

Ex 3.4 Class 7 Maths Question 1.

Tell whether the following situations are certain to happen, impossible to happen, can happen but not certain.

(i) You are older today than yesterday.

(ii) A tossed coin will land heads up.

(iii) A dice 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.

Solution:

Event |
Chance |

(i) You are older today than yesterday. | Certain to happen. |

(ii) A tossed coin will land heads up. | Can happen but not certain. |

(iii) A dice when tossed shall land up 8 on the top. | Impossible. |

(iv) The next traffic light seem will be green. | Can happen but not certain. |

(v) Tomorrow will be cloudy day. | Can happen but not certain. |

Ex 3.4 Class 7 Maths 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?

Solution:

(i) Total number of marbles marked with the number from 1 to 6 = 6

∴ n(S) = 6

Number of marble marked with 2=1

∴ n(E) = 1

∴ Required probability = \(\frac{n(\mathrm{E})}{n(\mathrm{S})}=\frac{1}{6}\)

(ii) Number of marble marked with 5 = 1

∴ n(E) = 1

∴ Required probability = \(\frac{n(\mathrm{E})}{n(\mathrm{S})}=\frac{1}{6}\)

Ex 3.4 Class 7 Maths Question 3.

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

Solution:

Coin has 2 faces—Head (H) and Tail (T)

∴ Sample space S(n) = 2

Number of successful event n(E) = 1

∴ Required probability = \(\frac{n(\mathrm{E})}{n(\mathrm{S})}=\frac{1}{2}\)

Sample Space: The sample space of an experiment is the number of all possible outcomes of that experiment. |