4. When 2 dice are simultaneously thrown, is it possible
that one of the ____ occurs. Result 1: A 5 and a 6 are
obtained. Result 2: A 5 is obtained twice. Select the
response that you agree with the most.
Answers were Sorted based on User's Feedback
Answer / asheesh singh
Answer #3 which i have posted earlier is actually for "When the Dice are thrown one after another" if they are thrown at a time then -
Chance for Result1(6,5 OR 5,6) = 2/36 = 1/18
Chance for Result2 (5,5) = 1/36
Hence (b) There is more chance of obtaining Result1 is CORRECT.
| Is This Answer Correct ? | 19 Yes | 0 No |
Answer / asheesh singh
Chances are
For 5 and 5 = 2/36 + 1/36 = 1/12
For 5 and 6 or the other way 6 and 5 = 2/36 + 2/36 = 1/9
Hence Result1 that chances of getting 5 & 6 or 6 &5 are more when compared to the combination in result2 ( i.e., 5 & 5)
| Is This Answer Correct ? | 3 Yes | 1 No |
Answer / piyush
Ans.- (a) The chances of obtaining each of these results
is equal.
(b) There is more chance of obtaining result 1.
(c) There is more chance of obtaining result 2.
(d) It is impossible to give an answer. (Please
explain why)
| Is This Answer Correct ? | 3 Yes | 7 No |
Answer / peeyush
chances for obtaining two 5 = (1/6) *(1/6) = 1/36
chances for obtaining 5 followed by 6 = (1/6) *(1/6) = 1/36
hence ans = equal prob.
| Is This Answer Correct ? | 3 Yes | 8 No |
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Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Eugene finishes two places ahead of Chris in the first race, all of the following will be true EXCEPT: a) Bob finishes ahead of Don. b) Chris finishes two places ahead of Alan. c) Don finishes fourth. d) Bob finishes immediately behind Eugene. e) Chris finishes ahead of Bob. 2) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Don finishes third in the third race, which of the following must be true of that race? a) Alan finishes first. b) Eugene finishes first. c) Bob finishes second. d) Chris finishes second. e) Alan finishes fifth. 3) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Eugene's total for the six races is 36 points, which of the following must be true? a) Bob's total is more than 36 points. b) Chris's total is more than 36 points. c) Alan's total is 36 points. d) Don's total is less than 36 points. e) Don's total is 36 points. 4) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Alan finishes first only once, and Don finishes second exactly twice, the lowest total number of points that Bob can earn in the race is: a) 32 points. b) 38 points. c) 40 points. d) 44 points. e) 48 points. 5) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Alan finishes first in four races, which of the following could earn a total of fewer than 26 points in the six races? a) Bob only. b) Chris only. c) Don only. d) Eugene of Chris. e) Don or Chris. 6) Five racing drivers, Alan, Bob, Chris, Don, and Eugene, enter into a contest that consists of 6 races. The results of all six races are listed below: Bob always finishes ahead of Chris. Alan finishes either first or last. Eugene finishes either first or last. There are no ties in any race. Every driver finishes each race. In each race, two points are awarded for a fifth place finish, four points for fourth, six points for third, eight points for second, and ten points for first. If Frank enters the third race and finishes behind Chris and Don, which of the following must be true of that race? a) Eugene finishes first. b) Alan finishes sixth. c) Don finishes second. d) Frank finishes fifth. e) Chris finishes third.
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