IGNOU LMT 1 2026 - Write the five steps involved in solving any mathematical proble

Question

Write the five steps involved in solving any mathematical problem (as given by Davis and Mayer)? Illustrate each of them by solving the following problem: “A coin is tossed 6 times. Assuming that it is a fair coin, what is the probability of getting exactly 3 heads and 3 tails”?

09 Jan 2026

Answer :

Word Count : 283

The first step in solving any mathematical problem, according to Davis and Mayer, is understanding the problem. In this step, the learner identifies what is given and what is required. For the problem “A coin is tossed 6 times. Find the probability of getting exactly 3 heads and 3 tails,” the given information is 6 tosses of a fair coin, and the required outcome is exactly 3 heads and 3 tails. The second step is devising a plan. Here, the learner decides which mathematical principles or formulas are applicable. For this problem, we use the binomial probability formula: (P(X = k) = \binom{n}{k} p^k q^{n-k}), where (n) is the number of trials, (k)

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