A building contractor tenders for a government office block and a sports gymnasium

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A building contractor tenders for a government office block and a sports gymnasium. The office contract is to proceed first and the contractor estimates that his firm has a 65% chance of being awarded this contract. If he fails to win the office contract, the contractor believes he has a 47% chance of winning the gym contract, though if successful with the office contract he believes the chance of winning the gym contract falls to 27%. Determine the probability that the contractor wins both of the contracts (as a decimal to 3 decimal places).