Prbability

Question 1
Suppose there are two coins. The first coin gives heads with probability 5/8 when tossed, while the second coin gives heads with probability 1/4. One of the two coins is picked up at random with equal probability and tossed. What is the probability of obtaining heads ?
A
7/8
B
1/2
C
7/16
D
5/32
       Engineering Mathematics        Prbability       Gate 2007-IT
Question 1 Explanation: 
Each coin has equal probability to pick i.e., 1/2.
The probability of obtaining heads
= (1/2)(5/8) + (1/2)(1/4)
= (5/16) + (1/8)
= 7/16
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