A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a black card or a 3. The probability is (Type an integer or a simplified fraction.) Suppose that 4 thank-you notes are written and 4 envelopes are addressed. Accidentally, the notes are randomly inserted into the envelopes and mailed without checking the addresses. What is the probability that all the notes will be inserted into the correct envelopes? The probability is (Type an integer or decimal rounded to six decimal places as needed.) An experiment consists of dealing 3 cards from a standard 52-card deck. What is the probability of being dealt 3 hearts? The probability of being dealt 3 hearts is (Round to six decimal places as needed.) Personnel selection. Suppose that 8 female and 5 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 13 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females? (A) The probability of selecting 3 females and 2 males is approximately (Type a decimal. Round to three decimal places.) Membership selection. A town council has 12 members, 7 Democrats and 5 Republicans. (A) (B) If the president and vice-president are selected at random, what is the probability that they are both Democrats? If a 3-person committee is selected at random, what is the probability that Republicans make up the majority? (A) The probability that they are both Democrats is approximately (Type a decimal. Round to three decimal places.) Insurance. By examining the past driving records of drivers in a certain city, an insurance company has determined the following (empirical) probabilities: If a driver in this city is selected at random, what is the probability that a. He or she drives less than 10,000 miles per year or has an accident? (Type a decimal.) Miles Driven per Year Less 10,000 - More than 15,000 than 10,000, inclusive, 15,000, M M2 M3 Totals Accident .05 .10 .25 .40 No Accident Totals .05 .25 .30 .60 .10 .35 .55 1.0 In order to test a new drug for adverse reactions, the drug was administered to 1,000 test subjects with the following results: 60 subjects reported that their only adverse reaction was a loss of appetite, 90 subjects reported that their only adverse reaction was a loss of sleep, and 700 subjects reported no adverse reactions at all. If this drug is released for general use, what is the (empirical) probability that a person using the drug will suffer both a loss of appetite and a loss of sleep? The (empirical) probability that a person using the drug will suffer both a loss of appetite and a loss of sleep is (Simplify your answer. Type an integer or a decimal.)