A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. One insured person dies. What is the probability that the dead person is a young boy? Options.
A) 36/165  B) 25/166  C) 26/165  D) 32/165  E) 33/165
The number of young boys that will die = 0.02 x 25,000 = 500   The number of young girls that will die = 0.03 x 14,000 = 420   The number of young adults that will die = 0.15 x 16,000 = 2400   The required probability = The number of young boys who will die / The total number of people who will die.   = 500 / (500 + 420 + 2400) = 25/166   ANSWER:25/166
<result>B</result>
A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. One insured person dies. What is the probability that the dead person is a young boy?