Multiple choice

A fair coin is tossed 10 times. What is the probability that only the first two tosses will yield heads?

  1. $\Big(\frac{1}{2}\Big)^2$
  2. $^{10} C_2$$\Big(\frac{1}{2}\Big)^2$
  3. $\Big(\frac{1}{2}\Big)^{10}$
  4. $^{10} C_2$$\Big(\frac{1}{2}\Big)^{10}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Number of elements in sample space is $2^{10}$. Only one element {H, H, T, T, T, T, T, T, T, T} is event. Thus probability is $\frac{1}{2^{10}}$

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