Week 8 Homework: Probability (Homework) - Essay Example

15: What is the probability of getting a license plate that has a repeated letter or digit if you live in a that has five letters followed by two numerals followed by one letter? (Round to the nearest whole percent.) 1 % 1 – (14918904000/30891577600) ≈ 0.517119: What are the odds in favor of drawing face card from an ordinary deck of cards? 1 to 2 20: What is the probability of obtaining exactly five heads in six flips of a coin, given that at least one is a head?1 2/21 ≈ 0.095221: A single card is drawn from a standard deck of cards.

Find the following probabilities. A face card is a jack, queen, or king. P(three | not a face card) = 1 1/10 = 0.1P(king | face card) = 2 1/3 ≈ 0.333322: Two cards are drawn from a standard deck of cards, and one of the two cards is noted and removed. Find the following probabilities of the second card. P(spade | spade) = 1 4/17 ≈ 0.2353P(red | red) = 2 25/51 ≈ 0.490225: An oil-drilling company knows that it costs $28,000 to sink a test well. If oil is hit, the income for the drilling company will be $445,000.

If only natural gas is hit, the income will be $145,000. If nothing is hit, there will be no income. If the probability of hitting oil is and if the probability of hitting gas is , what is the expectation for the drilling company? $ 1 Should the company sink the test well? Yes No  27: Assume that a dart is randomly thrown at the dartboard shown here and strikes the board every time. The payoffs are listed on the board. How much should you be willing to pay for the opportunity to play this game?

(Give your answer to the nearest cent.) $64-$9$32$8$4$16$ 1 26: Determine whether the following figure represents a fair game. Assume that the cost to spin the wheel once is $5.00 and that you will receive the amount shown on the spinner after it stops.E = $ 1 2 0 28: Calculate the expectation (to the nearest cent) for the Readers Digest sweepstakes described below. Assume there are 197,000,000 entries. $ 1 21/394 ≈ 0.05331