A frat bro is having a righteous time at a party, and enthusiastically high-fives each person he sees. Each high-five has a 0.02 chance of transmitting covid, independently of all other high-fives. He will contract covid if at least one high-five transmits the disease. If he high-fives 10 people, what is the probability he contracts covid? Enter your answer as a proportion, not a percentage.