Events A and B are mutually exclusive. Suppose event A occurs with probability 0.50 and event B Occurs with probability 0.13. If B does not occur, what is the probability that A occurs? Round your answer to at least two decimal places. (If necessary, consult a list of formulas.)

Two dice are rolled at the same time. Find the probability of each event listed when the probability is given as P(die 1, die 2). For example, if you want to know the probability that you roll a 3 on the first die and and a 5 on the second die, it would be written as P(3, 5). Give your answer as a decimal rounded to the thousandth place (three numbers after the decimal). P(1, 1) = P(both odd) P(even, odd): P(2 anywhere) = P(sum of 8) = P(sum of 1) =

A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.2 and if she has bad luck one time, then she has good luck the next time with probability 0.4. What fraction of the time in the long run does the poker player have good luck?

The annual premium for a $20,000 insurance policy against the theft of a painting is $300. If the probability that the painting will be stolen during the year is 0.02, what is your expected return from the insurance company if you take out this insurance?   Upload your answer with your work and explanations here

You play 3 lottery games each week. The probability of winning the 1st game is 0.05. The probability of winning the 2nd game is 0.1 And, the probability of winning the 3rd game is 0.2. Assume these are independent events. Find the probability that you will win at least one of the games this week. Give the probability as a decimal. If rounding, give to 4 decimal places. The probability is 4:22 PM 2/16/2021 hp prt sc delete home fa 1+ 144 num & backspace lock 6. %3D % 7. 8 P YU T %23 96