Q3: An experiment involves tossing a pair of dice, one green and one red, and re
ID: 3063913 • Letter: Q
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Q3: An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, describe the sample space S (a) by listing the elements ( (b) by using the rule method; (c) list the elements corresponding to the event A that the sum is greater than 8; (d) list the elements corresponding to the event B that a 2 occurs on either die; (e) list the elements corresponding to the event C that a number greater than 4 comes up on the green die; (f) list the elements corresponding to the event AnC; (g) list the elements corresponding to the event AnB; (h) list the elements corresponding to the event BnC; (i) construct a Venn diagram to illustrate the intersections and unions of the events A, B, and C. x.y); Q4: Let A, B, and C be events relative to the sample space S. Using Venn diagrams, shade the areas representing the following events: (a) (AnB); (b) (AUB)' (c) (AnC)UB Q5: A witness to a hit-and-run accident told the police that the license number contained the letters RLH followed by 3 digits, the first of which was a 5. If the witness cannot recall the last 2 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check. Q6: How many ways are there to select 3 candidates from 8 equally qualified recent graduates for openings in an accounting firm? Q7: The probability that an American industry will locate in Shanghai, China, is 0.7, the probability that it will locate in Beijing, China, is 0.4, and the probability that it will locate in either Shanghai or Beijing or both is 0.8. What is the probability that the industry will locate (a) in both cities? (b) in neither city?Explanation / Answer
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Q6) Select 3 candidates from 8 euqally qualified recent grads for openings in an a/c firm?
Since there are 8 equally qualified recent grads we have the grads are not distinct from each other.
Since they aren't distinct from each other we have to choose any 3 from 8 grads
So, total no. of ways of choosing 3 candidates from 8 euqlly qualified recent grads for openings in an accounting firms = 8C3 = 56
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