1. A coin is flipped four times. Assume all outcomes are equally likely. What is the probability that there are at least two consecutive flips that come up heads? 2. A hand of 5 cards is drawn from a standard deck of 52 cards. Assume all outcomes are equally likely. What is the probability that at least two of the cards have the same rank? Hint: Find the probability of the complement.
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- cs hw helpcorrectly explain this.last time incorrect solution given.downvote and report solution Q)A set of eight cards contains one joker. Player A and Player B are playing card games with these 8 cards. Player A chooses 5 cards at random, Player B takes the remaining three cards. What is the probability that Player A has the joker? Player A discards 4 cards and Player B discards two cards. It is know that the joker has not been discarded, what is the probability that Player A has the joker?A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
- If the probability of an event is 62%, what is the probability of its complement?An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. (a) What is the probability that exactly 10 of these are from the second section? (Round your answer to four decimal places.) (b) What is the probability that at least 10 of these are from the second section? (Round your answer to four decimal places.) (c) What is the probability that at least 10 of these are from the same section? (Round your answer to four decimal places.) (d) What are the mean value and standard deviation of the number among these 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) mean projectsstandard deviation projects (e) What are the mean value and standard deviation of…Conditional probability
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