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Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often 8,9 or 10?
a) 8 b) All are equally likely c) 9 d) 10
Read Solution (Total 5)
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- to get the sum of 8 we have 5 chances
die 1 die 2
2 6
3 5
4 4
5 3
6 2
to get the sum 9 we have 4 chances
die 1 die 2
3 6
4 5
5 4
6 3
to get the sum of ten we have 3 chances
die 1 die 2
4 6
5 5
6 4
so 8 has max chances so 8 is the answer - 14 years agoHelpfull: Yes(28) No(1)
- in a series of events the probability of the most likely to be happend is the median.
here the median is (12+2)/2=7
now for those given numbers the maximum probability of occurring will b the nearest to this median.
thus 8 is the nearest 1.. so the ans is 8 :) - 14 years agoHelpfull: Yes(12) No(0)
- ans:)8
we get 8 from the following combinations-(2,6),(3,5),(4,4),(5,3),(6,2) i.e.5 times
we get 9 from-(3,6),(4,5),(5,4),(6,3) i.e.4 times
we get 10 from-(5,5),(6,4),(4,6) i.e-3 times. - 14 years agoHelpfull: Yes(7) No(0)
- there is too much unnecessary,skip all of them ,now come to last 2 lines
in two throw of dice appearance of 8=(6,2),(5,3),(4,4),(3,5),(2,6)=5;
9=(6,3),(4,5),(5,4),(3,6)=4
10=(4,6),(5,5),(6,4)=3
so definitely answer is 8 as it appears max no of times - 14 years agoHelpfull: Yes(7) No(0)
- Here the card resembles a dice. So its like throwing 2 dice. Always the number closer to half of max(in this case 12) will have higher probability. So 8 is more closer to 6. 8 is the ans.
- 14 years agoHelpfull: Yes(4) No(0)
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