exam review

1-The experiment is to toss three coins. For each coin, the possible outcomes are {H, T}. What is the probability that at exactly one coin will be a tail (T)? State your answer rounded to three decimal places.

2-The experiment is to roll a single die. The possible outcomes are 1, 2, 3, 4, 5, and 6. Assuming the die is a far die and that all outcomes are equally-probably, what is the probability that The outcome will be 2 or more? State your answer rounded to three decimal places.

3- A box contains 6 red balls, 4 yellow balls, and 10 white balls. The experiment consists of taking three balls from the box, without replacement, and seeing how many of each color you took. What is the probability that exactly 0 balls will be white? Calculate your answer rounded to three decimal places.

4-A box contains 20 balls. 4 are red balls, 5 are yellow balls, and the rest are white balls. The experiment consists of taking three balls from the box, without replacement, and seeing how many of each color you took. What is the probability that there is exactly one ball of each color? Calculate your answer rounded to three decimal places.

5- The probability that Event A will occur is 0.95 and the probability that Event B will occur is 0.51. Finally, the probability that Events A and B will occur at the same time is 0.34. What is the conditional probability that A will occur if we know that B has occurred? State your answer rounded to three decimal places.