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A biased coin is tossed 4 times. The probability that a head occurs when this coin is tossed is 0.25. What is the probability that exactly 2 tails occur?1). 0.212).3). 0.274). 0.43

Answer»

The probability that a heads occurs when this coin is tossed is 0.25.

⇒ Probability of occurrence of TAILS = 1 – 0.25 = 0.75

For exactly two tails to occur in 4 tosses, remaining two outcomes should be heads.

In 4 tosses, 2 tails can occur in 4C2 WAYS, i.e., 6 ways.

∴ Probability of exactly 2 tails = 6 × 0.75 × 0.75 × 0.25 × 0.25 = 0.21


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