two dice are thrown simultaneously. what is the probability of getting doublet?

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If two dice are thrown simultaneously, then the probability of getting a doublet or a total of 6 is

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Question

If two dice are thrown simultaneously, then the probability of getting a doublet or a total of 6 is 

A

3 1 ​

B

18 5 ​

C

18 7 ​

D

36 11 ​ Medium Open in App Solution Verified by Toppr

Correct option is B)

Total outcomes when rolling 2 dice = 36

probability of getting doublet = P(A)={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}=6/36

probability of getting sum as 6=P(B)=

{(1,5),(2,4),(3,3),(4,2),(5,1)}=5/36

probability of getting a doublet and

total of 6 is P(A∩B)={(3,3)}=1/36

probability of getting a doublet or a

total of 6=P(A∪B)=P(A)+P(B)−P(A∩B)

=6/36+5/36−1/36 =10/36=5/18

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Two dice are thrown simultaneously. The probability of getting a doublet is

Two dice are thrown simultaneously. The probability of getting a doublet is

Byju's Answer Standard IX Mathematics Events and Outcomes Two dice are ... Question

Two dice are thrown simultaneously. The probability of getting a doublet is

A 0 B 1 3 C 1 6 D 5 6 Open in App Solution

The correct option is C

1 6

When the two dice are thrown simultaneously, all possible outcomes =

6 2 = 36.

The favourable outcomes are: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6)

Hence, the no. of favourable outcomes = 6

∴

P (getting a doublet) =

6 36 = 1 6 Suggest Corrections 16

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स्रोत : byjus.com

Two dice are thrown together. What is the probability of getting a doublet?

Number of all possible outcomes= 36. The doublets are (1,1),(2,2),(3,3),(4,4),(5,5),(6,6). Their number is 6. :. P(getting a doublet) = 6/36 = 1/6.

Home > English > Class 10 > Maths > Chapter > Probability >

Two dice are thrown together. ...

Two dice are thrown together. What is the probability of getting a doublet?

Updated On: 27-06-2022

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The correct Answer is B

Solution

Number of all possible outcomes= 36.

The doublets are (1,1),(2,2),(3,3),(4,4),(5,5),(6,6).

Their number is 6. ∴ ∴

P(getting a doublet) =

6 36 = 1 6 636=16 .

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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