Maharashtra State BoardHSC Science (General) 11th
Advertisement Remove all ads

The probability that a student X solves a problem in dynamics is 25 and the probability that student Y solves the same problem is 14 . What is the probability that the problem is not solved - Mathematics and Statistics

Sum

The probability that a student X solves a problem in dynamics is `2/5` and the probability that student Y solves the same problem is `1/4`. What is the probability that the problem is not solved

Advertisement Remove all ads

Solution

Let event A: Student X solves the problem in dynamics,

event B: Student Y solves the problem in dynamics.

∴ P(A) = `2/5`, P(B) = `1/4`

∴ P(A') = 1 – P(A) = `1 - 2/5 = 3/5`

P(B') = 1 – P(B) = `1 - 1/4 = 3/4`

A and B are independent events,

A' and B' are also independent events

Let event C: Problem is not solved.

∴ P(C) = P(A' ∩ B')

= P(A'). P(B')

= `3/5 xx 3/4`

= `9/20`

Concept: Independent Events
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads

Video TutorialsVIEW ALL [2]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×