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Find the probability.A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 6?Find the probability.In a family with family with 4 children, excluding multiple births, what is the probability of having 2 girls and 2 boys, in that order? Assume that a boy is as likely as a girl at each birth.Find the probability.If you are dealt two cards successively (with replacement of the first) from a standard 52-card deck, find the probability of getting a heart on the first card and a diamond on the second.Use the addition rule to find the following probability.If P (A) = 0.2, P (A or B) = 0.3, and P (A and B) = 0.5, find P (B).Find the probability using combinations. Round to the nearest ten-thousandth when necessary.A bag contains 6 cherry, 3 orange and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability that you have all cherry candies.The graduates at Southern University are shown in the table. Use the conditional probability formula to answer the given question below. A student is selected at random from the graduating class.Find the probability that the student is female, given that the student is receiving an education degree, P (F|E).Find the probability of the independent event.If P (E) = 0.9, P (F ? E) = 0.36, and E and F are independent, find P (F).Find the expected value.An insurance company has written 52 policies of $50,000, 477 of $25,000, and 918 of $10,000 on people of age 20. If the probability that a person will die at age 20 is 0.001, how much can the company expect to pay during the year the policies were written?Find the expected value.A contractor is considering a sale that promises a profit of $39,000 with a probability of 0.7 or a loss (due to bad weather, strikes, and such) of $14,000 with a probability of 0.3. What is the expected profit?Use a tree diagram to find the probability.10) A couple plans to have four children. Using a tree diagram, obtain the sample space. Then, find the probability that the family has at least one boy.