Question
1. Consider the sample space of a single standard die. If you roll it once, what is the probability of rolling a number greater than
1. Consider the sample space of a single standard die. If you roll it once, what is the probability of rolling a number greater than 2? Reminder, answer with the leading zero and round correctly to 3 decimal places. (0.xxx)
2. The following five cards are dealt to you, 5 of hearts (red), 7 of diamonds (red), 5 of clubs (black), 10 or clubs (black), Jack of spades (black). Your opponent selects one card at random. What is the probability they select a black card?
3. The following five cards are dealt to you, 5 of hearts (red), 7 of diamonds (red), 5 of clubs (black), 10 or clubs (black), Jack of spades (black). Your opponent selects one card at random. What is the probability they select a black card or a red card?
4. The following five cards are dealt to you, 5 of hearts (red), 7 of diamonds (red), 5 of clubs (black), 10 or clubs (black), Jack of spades (black). Your opponent selects one card at random. What is the probability they select a 5 or a red card?
5. You roll two fair dice a green one and a blue one. Find P(1) on the green die AND P(2) on the blue die. Answer in decimal form with 3 decimal places.
6. A suit of clubs in a standard deck has 13 cards. You select two cards without replacing the first one before drawing the second one.
Are the outcomes on the two cards independent? Yes or No?
7. A suit of clubs in a standard deck has 13 cards. You select two cards without replacing the first one before drawing the second one. Find P(5 on the first card AND 7 on the second card). Give your answer to 3 decimal places
8. The following five cards are dealt to you, 5 of hearts (red), 7 of diamonds (red), 5 of clubs (black), 10 or clubs (black), Jack of spades (black). Your opponent selects one card at random. What is the probability they select a purple card?
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