Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • A die is thrown 6 times. If 'getting an odd number' is a success, what is the probability of (ii) at least 5 successes?

Q. 1   A die is thrown 6 times. If ‘getting an odd number’ is a success, what is the probability of 

             (ii) at least 5 successes?

Answers (1)

best_answer

X be a number of success of getting an odd number.

P(probability\, of\, getting\, odd\, number)=\frac{3}{6}=\frac{1}{2}

\therefore \, \, \, \, q=1-P=1-\frac{1}{2}=\frac{1}{2}

X has a binomial distribution.

\therefore \, \, \, \, P(X=x)=^nC_n_-_x.q^{n-x}.p^x

       P(X=x)=^6C_6_-_x.(\frac{1}{2})^{6-x} . (\frac{1}{2})^{x}

       P(X=x)=^6C_6_-_x.(\frac{1}{2})^{6}

      

    P(At \, \, least \, \, 5\, \, \, success) =P(x\geq 5)

                                  =P(X=5)+P(X=6)

                                 = ^6C_5 .(\frac{1}{2})^6+^6C_6 .(\frac{1}{2})^6

                                = 6 .(\frac{1}{64})+ (\frac{1}{64})

                               = \frac{7}{64}

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2025 (Out) Live: Class 10, 12 board exam time table at cbse.gov.in; syllabus, sample papers
anam-khan

CBSE Class 12 board exam date sheet 2025 out; exams from February 15 to April 4
anam-khan

When will CBSE Board exam 2025 date sheet be released for Class 10, 12?

Latest Question