GATE Exam | Aptitude Questions | GATE Syllabus | GATE Result | Mock Test | GATE Preparation

0 votes

An unbalanced dice (with 6 faces, numbered from 1 to 6) is thrown. The probability that the face value is odd is 90% of the probability that the face value is even. The probability of getting any even numbered face is the same. If the probability that the face is even given that it is greater than 3 is 0.75, which one of the following options is closest to the probability that the face value exceeds 3?

0 votes

Ans, 0.468

Let P_{n }be the probability of corresponding face value occurence.

Total probability

P_{1} + P_{2} + P3 + P_{4} + P_{5} + P_{6} = 1 .......... Eq. 1

According to conditions,

P_{1} + P3 + P_{5 }= 0.9( P_{2 }+ P_{4} + P_{6 }) ............... Eq. 2

P_{4} + P_{6 }= 0.75( P_{4} + P_{5} + P_{6} ) ..................... Eq. 3

but P_{2 }= P_{4} = P_{6 }= P given

So Eq, 1 P_{1} + P3 + P_{5 }= 1 - 3P_{2}

Eq. 2 P_{1} + P3 + P_{5 }= 0.9 * 3P_{2}

Soving these, P_{2 }= P_{4} = P_{6 }= P = 0.1754

Putting it in Eq. 3 P_{4} + P_{5} + P_{6} = 0.468

- All categories
- Computer Science & Information Technology 452
- Mathematics 80
- Aptitude Questions 114
- GATE 94
- Online Aptitude Test 6
- Gate Exam 22
- Gate Syllabus 6
- Gate Preparation 35
- Gate Coaching 14
- Online Registration 20
- Electronics and Communication (EC) 0
- Electrical Engineering (EE) 3
- Civil Engineering (CE) 0
- Mechanical Engineering (ME) 2
- Aerospace Engineering (AE) 0
- Agricultural Engineering (AG) 0
- Architecture and Planning (AR) 0
- Biotechnology (BT) 0
- Chemical Engineering (CH) 1
- Chemistry (CY) 0
- Ecology and Evolution (EY) 0
- Geology and Geophysics (GG) 0
- Instrumentation Engineering (IN) 0
- Mining Engineering (MN) 0
- Petroleum Engineering (PE) 0
- Physics (PH) 0
- Production and Industrial Engineering (PI) 1
- Textile Engineering and Fibre Science (TF) 0
- Engineering Sciences 0
- Life Sciences 1
- Mathematics (MA) 0