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Class 10 > Learn Mathematics > Two dice are thrown simultaneously. What is the probability...
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Two dice are thrown simultaneously. What is the probability that: (i) 5 will not come up on either of them? (ii) 5 will come up on at least one? (iii) 5 will come up at both dice?"

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°No.of total outcome=36 Favorable outcome that 5 will not come up=25 Therefore 25/36. °° favorable outcome that 5 will come up at least once =11 Therefore 11/36 °°°favorable outcome that 5 will come up on both the dice = 1 Therefore 1/36
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°No.of total outcome=36

Favorable outcome that 5 will not come up=25

Therefore 25/36.

°° favorable outcome that 5 will  come up at least once =11

Therefore 11/36

°°°favorable outcome that 5 will come up on both the dice = 1

Therefore 1/36

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no. of all possible combination = 6^2=36 No. of combination in which atleast one 5 arises is 11 because on both dice 5 simultaneously arises such combination is considered once. So, the answes are : (i) 25/36 (ii) 11/36 (iii) 1/36
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Total possibilities is 36 1) let E be the event of 5 will not come up on either of them n(E)=25 P(E)=25/36 2) let E1 be the event 5 will come up on at least one is n(E1)=11 P(E1)=11/36 3) let E2 be the event 5 will come up at both dice n(E2)=1 P(E2)=1/36
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