Review Set 3 9One card is chosen from a standard deck of cards. 0 a. What is the

Question

Review Set 3 9One card is chosen from a standard deck of cards. 0 a. What is the probability you get a Heart? b. What are the ODDS you get a Heat? c. What is the probability you get a Seven? d. What is the probability you get a Heart AND a Seven? e. What is the probability you get a Heart OR a Seven? 10. Suppose our sample space is (0, 1, 2, 3, 4, 5, 6,7, 8,9. Let A- 6. 7, 8. 91 and let B = { 2. 3. 5.7}, write out each set, using proper set notation. a. ANB b. AUB ?.? When dealing a five card hand what is the probability you get (leave your answer as an un-simplified fraction) 11. a. Five Hearts? b. Three Aces and Two Kings c. Which is more likely? Explain your thinking In the Power Ball Lottery you pick five numbers from 1-59 and one bonus number from 1-35. Assuming you buy only one ticket: 12. a. What is the probability you match ALL the numbers and win big? b. What is the probability you match the five numbers, but not the bonus number? What is the probability that none of your numbers match the winning numbers? 13. A 22-year old woman pays $325 for a one-year life insurance policy with coverage of c. $200,000 should she die. The probability of her dying within a year is 0.000446,what ?s the expected value from the standpoint of the insurance company? What does this tell us? Fill in the table below based on the following information. 832 students were surveyed regarding their consumption of Tea and Coffee: 306 drink both Tea and Coffee; 132 drink Tea but not Coffee; 211 drink Coffee, but not Tea; and 315 do not drink Coffee. 14. Drink Coffee? No Yes Total Yes No Total Drink Tea? 655 7th Edition Chapter 10: Metacognition

Explanation / Answer

I am solving the first question, Q9 with all sub-parts as per Chegg guidelines, post multiple question to get the remaining answers

Q9)

a) probability that you get a heart

There are four suites each having 13 cards (spades,diamonds,clubs and heart)

Probability of getting a heart = 13C1/52C1 = 13/52 = 1/4

b) ODDS of getting a heart is equal to 1 in 4 (Out of 4 drawn cards, we will get 1 heart)

c)

There will be four seven cards one each belonging to each suite

P(getting a suite) = 4C1/52C1 = 1/13

d)

Probability of getting a heart and seven = 1C1/52C1 = 1/52 [since we have only one card which satisfy both the constraints that is 7 of hearts]

e)

P(heart or seven) = 13 (heart cards) + 3(7 of spades, club and diamnond) = 16

P(getting heart or seven) = 16C1/52C1 = 4/13

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