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Question: q1 fill in the blanks conditional probability and independence toss...

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Q1. Fill in the Blank(s) Conditional Probability and Independence Toss a balanced die once. Let E = {2,4,6}, A = {1,2,3}. Find P(E|A). Show the answer as a fraction.

Q2. Fill in the Blank(s) Conditional Probability and Independence A standard deck of 52 playing cards is well shuffled, and three cards are selected at random without replacement. Let A = three Kings are chosen, B = at least one King is chosen. Find P(B|A).

Q3. True or False Conditional Probability and Independence A standard deck of 52 playing cards is well shuffled, and one card is selected at random. Let A = a King is chosen, B = a heart is chosen. A and B are independent.

Q4. True or False Conditional Probability and Independence A standard deck of 52 playing cards is well shuffled, and one card is selected at random. Let A = a red Jack is chosen, B = a heart is chosen. A and B are independent.

Q5. Fill in the Blank(s) Conditional Probability and Independence A penny, a nickel, a dime and a quarter are each flipped once. Assuming all four coins are balanced, what is the probability that all four coins turn up tails? Show the answer as a fraction.

Q6. Fill in the Blank(s) Conditional Probability and Independence A coin is flipped four times. Assuming the coin is balanced, what is the probability that four heads come up? Show the answer as a fraction.

Q7. Fill in the Blank(s) Conditional Probability and Independence A nickel, a dime and a quarter are each flipped twice. Assuming all three coins are balanced, what is the probability that only tails turn up? Show the answer as a fraction.

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