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Previous Year Question (PYQs)



There are two coins, say blue and red. For blue coin, probability of getting head is 0.99 and for red coin, it is 0.01. One coin is chosen randomly and is tossed. The probability of getting head is





Solution

One coin is chosen at random, so each has probability $\tfrac{1}{2}$ of being selected.

Let $P(H)$ = probability of getting head.

Using the law of total probability:

$P(H) = \tfrac{1}{2} \times 0.99 + \tfrac{1}{2} \times 0.01 $$ = \tfrac{1}{2}(1.00) = 0.50$

✅ Final Answer: ${0.5}$



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