Jee Main 2024 31 01 2024 Shift2 - Question2
Question 2
A coin is biased such that head has two chances than tails, what is the probability of getting 2 heads and 1 tail?
(1) $\frac{1}{29}$
(2) $\frac{2}{29}$
(3) $\frac{1}{9}$
(4) $\frac{4}{9}$
Show Answer
Answer: (4)
Solution:
Let probability of tail is $\frac{1}{3}$
$\Rightarrow$ Probability of getting head $=\frac{2}{3}$
$\therefore \quad$ Probability of getting 2 heads and 1 tail
$$ \begin{aligned} & =\left(\frac{2}{3} \times \frac{2}{3} \times \frac{1}{3}\right) \times 3 \\ & =\frac{4}{27} \times 3 \\ & =\frac{4}{9} \end{aligned} $$
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