A coin is tossed repeatedly and the result of each toss is recorded
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A coin is tossed repeatedly and the result of each toss is recorded. After 60 tosses, Heads is observed 34 times and Tails the remaining times.
Answer the following questions based on this experiment:
(i) Define the terms (a) random experiment, (b) outcome and (c) event in the context of this situation.
(ii) Construct a frequency table for the two possible outcomes of a single coin toss using the information given.
(iii) Calculate the empirical probability of obtaining (a) Heads, (b) Tails.
(iv) Explain, with reference to your answers in part (iii), why the sum of the probabilities of all possible outcomes of a random experiment is always 1. Mention the relevant property of probability used.