TCS
Company
Category
Eric throws two dice ,and his score is the sum of the values shown.Sandra throws die and her score is the square of the values shown.what is the probability that Sandra's score will be strictly higher than Eric's score?
Read Solution (Total 11)
-
- 2 square 4 greater than 1,1 ; 1,2;2,1 .now 3 square i.e.9 is greater than 1(1,2,3,4,5,6),2(1,2,3,4,5,6),3(1,2,3,4,5),4(1,2,3,4),5(1,2,3),6(1,2) so its 26 cases .now minimum sum is (1,1) i.e. 2 and maximum sum is (6,6) i.e. 12 .for 4,5 ,6 obtained on second dice square will be 16,25,36 which is greater than every other sums i.e. 36 possibilities .therefore its 1/6*3/36 + 1/6 *26/36 + 3/6*36/36 = 137/216
- 10 years agoHelpfull: Yes(10) No(3)
- shraddha's score will be anyone of (1^2, 2^2,3^2,4^2,5^2,6^2),
and the sum of the 2 numbers cannot be more than 12 when 2 dice are thrown.
so favorable cases are(4^2 ,5^2, 6^2) i.e 3/36=1/13. - 10 years agoHelpfull: Yes(7) No(10)
- possible scores for eric are 1,2,3,4,5,6,7,8,9,10,11,12 (i.e. 12)
and possible scores of sandra are 1 4 9 16 25 36 (i.e. 6)
sandra,s scores greater than eric's maximum score are=16 25 36 (i.e. 3)
there fore probability of sandras getting more score than eric is=3/6=1/2 - 10 years agoHelpfull: Yes(7) No(0)
- sum can not be greater than 12,when eric throws two dice.
when sandra throws a die then the favaraboule outcomes are 4, 5,6 because square of all of them is greater than 12.
sample space=6
favourable outcome=3
therefore,probability=3/6=1/2. - 10 years agoHelpfull: Yes(4) No(1)
- no you can get as a sum of two dice is
2 3 4 .........................12
no as a square on the no shown on dice
4 9 16 25 36 49 64 81 100 121 144 respectively
if we get no frm 16 to 144 then we'll alwaz get a no greater than first case and total outcome is 11
so. possible outcome=(11-2=9)exclding 4 and 9
so probability will b 9/11 - 10 years agoHelpfull: Yes(2) No(4)
- because there is only 4,5,6 square is grater than 6+6 so
p=3/6=1/2 - 10 years agoHelpfull: Yes(1) No(1)
- the soln is 137/216 but dont know how will i get it..
- 10 years agoHelpfull: Yes(1) No(0)
- Sandra throws DIE aid her score is the square of the VALUES shown
i think there is a bit ambiguity in this question because
it's given
die-singular
values-plural
but a single die cannot have more than one value for a throw
- 10 years agoHelpfull: Yes(0) No(2)
- 49/72
Total condition is 72 and favourable conditions is 49
- 10 years agoHelpfull: Yes(0) No(2)
- 204/231
Count all the possible sums for Eric and Sandra dice.Then compare each value of sums in the case of Eric with that of Sandra.Count all the cases.We get 204 as the number of these cases and the total sample space is 231. - 10 years agoHelpfull: Yes(0) No(0)
- ans will be 137/216
- 10 years agoHelpfull: Yes(0) No(0)
TCS Other Question