RD Sharma 2014 Solutions for Class 7 Math Chapter 25 Data Handling IV (Probability) are provided here with simple step-by-step explanations. These solutions for Data Handling IV (Probability) are extremely popular among class 7 students for Math Data Handling IV (Probability) Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RD Sharma 2014 Book of class 7 Math Chapter 25 are provided here for you for free. You will also love the ad-free experience on Meritnationâ€™s RD Sharma 2014 Solutions. All RD Sharma 2014 Solutions for class 7 Math are prepared by experts and are 100% accurate.

#### Question 1:

A coin is tossed 1000 times with the following frequencies:

When a coin is tossed at random, what is the probability of getting (i) a head? (ii) a tail?

Total number of times a coin is tossed = 1000
Number of times a head comes up = 445
Number of times a tail comes up = 555

(i) Probability of getting a head =

(ii) Probability of getting a tail =

#### Question 2:

A die is thrown 100 times and outcomes are noted as given below:

 Outcome: 1 2 3 4 5 6 Frequency: 21 9 14 23 18 15
If a die is thrown at random, find the probability of getting a/an.
(i) 3
(ii) 5
(iii) 4
(iv) Even number
(v) Odd number
(vi) Number less than 3.

Total number of trials = 100

Number of times "1" comes up = 21
Number of times "2" comes up = 9
Number of times "3" comes up = 14
Number of times "4" comes up = 23
Number of times "5" comes up = 18
Number of times "6" comes up = 15

(i) Probability of getting 3

=

(ii) Probability of getting 5

=

(iii) Probability of getting 4

=

(iv) Frequency of getting an even no. = Frequency of 2 + Frequency of 4 + Frequency of 6 = 9+ 23 + 15 = 47

Probability of getting an even no. =

(v) Frequency of getting an  odd no. = Frequency of 1 + Frequency of 3 + Frequency of 5 = 21+ 14 + 18 = 53

Probability of getting an odd no. =

(vi) Frequency of getting a no. less than 3 = Frequency of 1 + Frequency of 2= 21 + 9 = 30

Probability of getting a no. less than 3

=

#### Question 3:

A box contains two pair of socks of two colours (black and white). I have picked out a white sock. I pick out one more with my eyes closed. What is the probability that I will make a pair?

No. of socks in the box = 4
Let B and W denote black and white socks respectively.
Then we have:
S = {B,B,W,W}

If a white sock is picked out, then the total no. of socks left in the box = 3
No. of white socks left = 2-1 =1

Probability of getting a white sock

=

#### Question 4:

Two coins are tossed simultaneously 500 times and the outcomes are noted as given below:

If same pair of coins is tossed at random, find the probability of getting (i) Two heads (ii) One head (iii) No head.

Number of trials = 500
Number of outcomes of two heads (HH) =  105
Number of outcomes of one head (HT or TH) =  275
Number of outcomes of no head (TT) =  120

(i) Probability of getting two heads =

(ii) Probability of getting one head =

(iii) Probability of getting no head =

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