Conditional Probability question, please check my solution?

inasi022

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Oct 18, 2016
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Suppose that there are two viruses (V1 and V2) affecting some university
computers. Both viruses may cause the computers to restart repeatedly otherwise
the computers are not affected by none of the viruses V1 or V2. There is
20% chance that a computer affected by V1 restarts repeatedly and 80% chance
that a computer affected by V2 restarts repeatedly. Our estimate is that 50%
of computers are restarting repeatedly and 50% of computers are affected by
V2. If a computer is restarting repeatedly, determine the probability that it is
affected by V2. Note that no clean computer restarts repeatedly

My solution:p(V2|R) = (P(V2)x P(R|V2))/P(R) = (0.50 x 0.80)/0.50 = 0.80

Please let me know if I have done this right. I feel very confused since P(V1|R) seems very irrelevant to me
 
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