An unbiased coin is tossed 3 times. If the third toss gets head, then the probability of getting at least…

An unbiased coin is tossed 3 times. If the third toss gets head, then the probability of getting at least one more head is
  1. $3 / 4$
  2. $1 / 4$
  3. $1 / 2$
  4. $1 / 3$

Solution

If the third toss gets head, then the outcomes are $\{\mathrm{HHH}, \mathrm{HTH}, \mathrm{THH}, \mathrm{TTH}\}$. $P($ at least one head in first 2 trial $)=3 / 4$

Asked in: AP EAMCET 2022 (06 Jul Shift 2)

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