CBSE (Science) Class 12CBSE
Share
Notifications

View all notifications

If Each Element of a Second Order Determinant is Either Zero Or One, What is the Probability that the Value of the Determinant is Positive? (Assume that the Individual Entries of the Determinant Are Chosen Independently, Each Value Being Assumed with Probability 1/2). - CBSE (Science) Class 12 - Mathematics

Login
Create free account


      Forgot password?

Question

If each element of a second order determinant is either zero or one, what is the probability that the value of the determinant is positive? (Assume that the individual entries of the determinant are chosen independently, each value being assumed with probability 1/2).

Solution

The total number of determinants of second order with each element being 0 or 1 is (2)4 = 16

The value of determinant is positive in the following cases. `|(1,0),(0,1)||(1,1),(0,1)||(1,0),(1,1)|`

∴ Required probability  `= 3/16`

  Is there an error in this question or solution?

APPEARS IN

Video TutorialsVIEW ALL [2]

Solution If Each Element of a Second Order Determinant is Either Zero Or One, What is the Probability that the Value of the Determinant is Positive? (Assume that the Individual Entries of the Determinant Are Chosen Independently, Each Value Being Assumed with Probability 1/2). Concept: Independent Events.
S
View in app×