Probability questions:

1. My daughter's classroom has 11 boys and 8 girls. Seven of them will be given a free ticket to six flags assuming their teacher will select randomly. What is the probability that 5 of them are girls?
2. I have a sweet craving and decide to go to the local bakery. They have a selection of 20 different cupcakes, 10 different donuts, and 15 different muffins. If I were to select a tasty treat, how many different choices of sweets can I choose from?
3. I really like dessert. So, I am always torn between wanting 4 cookies, 5 brownies,or 1 bowl of ice cream. What kind of options do I have with that information?
4. For my baby shower, we want to offer different types of pastries. We have 30 chocolate chip cookies, 12 cheese rolls, 8 chocolate twists, and 12 guava strudels. If someone chooses 2 pastries, how many different choices do they have?
5. Suppose there is a bowl of22 Hershey's Miniatures candy bars on the table containing6 Mr. Goodbars (G),7 Krackel bars (K), and9Hershey chocolate bars (H).Someone already ate all the Special Dark chocolate bars since dark chocolate is good for you.

You are going to grab7bars, without replacement.

Find the probability =P(none of the7bars are Hershey chocolate bars):

6.)Major League Baseball Hall of Famer Jackie Robinson has a career batting average of 0.311, which means he had a base hit 31.1% of the times at-bat.Suppose he had a 3-game matchup in which he can be expected to have 15 times at-bat.

Use this information and binomial probability to find the following probabilities.Express all answers in decimal form, and include all the digits your calculator gives you as a result.

a.P(Jackie gets a base hit exactly 3 times out of the 15 times at bat):

b.P(Jackie gets a base hit exactly 8 times out of the 15 times at bat):.04151128877

c.Find the probability he gets a base hit 2 or fewer times out of the 15 times at bat:

d.Using your answer from part c, what is the probability he gets a base hit more than 2 times at-bat out of the 15 times at bat:

e.If you were on the opposing team, and Jackie Robinson came up to bat, would you expect Jackie to get a base hit?Why or why not?Refer to your results to support your answer.