Question

if two dice are thrown once simulataneously then what is the probability that the number of appearing on the top both dice are square number​

Answer 1

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Given:-

Two dices are thrown simultaneously.

To Find:-

Probability of getting a square number on top.

Solution:-

$\scriptsize{ \red{\boxed{probability: \: the \: measure \: of \: the \: chance \: of \: an \: event \: happening}}}$

$\scriptsize{{\boxed{formula = \frac{number \: of \: favourable \: outcomes}{number \: of \: total \: outcomes}}}}$

We know:-

There are six faces on a dice.

So,

combination of two dices

= 6×6

= 36

Square digits between 1 and 36:-

1,4,9,16,25,36

= 6 digits

Probability:-

$\frac{favourable\; outcomes}{total\; outcomes}$

= $\cancel\frac{6}{36}$

= $\frac{1}{6}$

Hence,

The probability of getting a square number if two dices are thrown simultaneously is $\frac{1}{6}$

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