Question
Download Solution PDFA coin is tossed 6 times. The probability of getting exactly 2 heads is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Binomial Distribution:
If ‘n’ and ‘p’ are the parameters, then ‘n’ denotes the total number of times the experiment is conducted and ‘p’ denotes the probability of the happening of the event.
The probability of getting exactly ‘k’ successes in ‘n’ independent trials for a Random Variable X is expressed as P(X = k) and is given by the formula:
P(X = k) = nCk pk (1 - p)n - k
Calculation:
The probability of getting a head in a single toss is p = \(\frac12\).
∴ The probability of getting 2 heads in 6 tosses, will be:
P(X = 2) = 6C2\(\left(\frac12\right)^2\)\(\left(1-\frac12\right)^{6-2}\)
= \(\frac{15}{64}\).
Last updated on Jun 20, 2025
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