MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG
...

Summer Clouds moderators

22/11/2017 at 10:27
Answers
2
Follow

Four chips are distinctly labeled with the digits 2, 3, 1 and 7, one chip for each digit. Two chips are drawn at random without replacement and placed in the order in which they are drawn, from left to right, to form a two-digit number. What is the probability that the two-digit number is a prime number? Express your answer as a common fraction.
undefined




    List of answers
  • ...
    Nguyễn Hưng Phát 22/11/2017 at 11:50

    Because 2,3,1,7>0 so 2 isn't the second number

    We can put off:4 x 4=16(number)

    But 2 isn't the second number so we can put off:16-4=12(number)

    Because 2+1=3\(⋮3\) ; 2+7=9\(⋮3\) so 21 and 27 isn't a prime number

    So we can put off:12-2=10(number) but 33 and 77 isn't a prime number

    Answer:10-2=8(number)

  • ...
    Lê Quốc Trần Anh Coordinator 22/11/2017 at 16:34

    There are: \(4\cdot3=12\left(ways\right)\) to form a two-digit number.

    The prime numbers can be make are: 23;27;31;37;13;17;73 so there are 7 prime numbers can be make.

    So the probability is: \(7:12=\dfrac{7}{12}\)


Post your answer

Please help Summer Clouds to solve this problem!



Weekly ranking


© HCEM 10.1.29.225
Crafted with by HCEM