Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A fair coin is tossed 10 times. What is the probability that ONLY the first two tosses will yield heads?  Option: 1 <img alt="\left(\f

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

 

Option: 1

\left(\frac{1}{2}\right)^2


Option: 2

\mathrm{{ }^{10} C_2\left(\frac{1}{2}\right)^2}


Option: 3

\mathrm{\left(\frac{1}{2}\right)^{10}}


Option: 4

\mathrm{{ }^{10} C_2\left(\frac{1}{2}\right)^{10}}


Answers (1)

best_answer

P (Only the first two tosses yield heads)

                          \mathrm{=P(H, H, T, T, \ldots, T)}

Each toss is independent

\therefore Required Probability

                                 \mathrm{=P(H) P(H) P(T) P(T) \ldots P(T)}

                                 =\left(\frac{1}{2}\right)^2\left(\frac{1}{2}\right)^8=\left(\frac{1}{2}\right)^{10}

Posted by

Nehul

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today
anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs
anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question