A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability distribution of X. Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary. Hint: If you are picking two different coins, remember that you can pick one first, then the other or the other way around, and you will still end up with the same two coins. x P/Y m) 2 0227 6 10 0.015 11 15 20 001

If the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will be hired in their first 6 months out of college is 98%, what is the probability that an individual with a Bachelor Degree in Underwater Basket-weaving will not get hired in the first 6 months out of college? Answer in decimal form.  Round to two decimal places as needed.

A bag contains 2 cherry, 3 lemon, 4 grape, and 5 watermelon candies. You reach in and grab a handful of 3 pieces at random.  Find the probability that you get at most one cherry candy. Give the probability as a decimal to 4 decimal places

A basketball player has a 72.5% free throw percentage. Find the probability the basketball player makes the first free throw on the fourth or fifth attempt.

Find the probability of selecting 5 science books and 3 math books from 14 science books and 8 math books. The books are selected at random.  Enter your answer as a fraction or a decimal rounded to 3 decimal places. P(5 science and 3 math) =

Find the probability for a roll of two dice. Rolling  doubles (the same number on each dice). (Round your answer to 3 decimal places)

Please do both. Thank you

A coin is flipped 5 times.  Find the probability of getting at least 3 heads. If you used a table to help  find your answer, give it to the thousandths place.

Determine the probability of having 2 girls and 3 boys in a 5-child family. State any assumptions you made.

Hospitals like to have electricity provided when there is a blackout. Assume that the backup generators fail 38% of the time. Find the probability of a hospital with 2 back up generators failing at the same time. Round to 4 decimal places. Find the probability of at least one generator working during a blackout. Round to 4 decimal places.