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Maths 3 Mark Question

Data Handling IV (Probability) · Maharashtra Board STD 7 (MSBSHSE - Semi English Medium). 2 questions.

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3 Mark Question

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Question 13 Marks
A coin is tossed 1000 times with the following frequencies:
Head: 445, Tail: 555
When a coin is tossed at random, what is the probability of getting?
  1. a head?
  2. a tail?
Answer
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
  1. Probability of getting a head $=\frac{\text{No. of heads}}{\text{Total No. of trails}}=\frac{445}{1000}=0.445$
  2. Probability of getting a tail $= \frac{\text{No. of tails}}{\text{Total No. of trails}}= \frac{555}{1000}=0.555$
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Question 23 Marks
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?
Answer
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 $=\frac{\text{No. of white socks left in the box}}{\text{Total no. of socks left in the box}}=\frac{1}{3}$
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