The probability that at least one of the dice shows a square number is 5 / 9.
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that Meyer rolls two fair, ordinary dice with the numbers {01,2,3,4,5,6} on their sides.
Two numbers on each die are squares: 1 and 4. 4 numbers on each die are not squares: 2, 3, 5, and 6. there are 16 ways for him to roll a non-square die, out of 36 outcomes for the pair of dice.
Total favourable outcomes = 20
Total outcomes = 36
The probability will be calculated as,
Probability = Number of favourable outcomes / Number of sample
Probability = 20 / 36
Probability = 5 / 19
Therefore, the probability that at least one of the dice shows a square number is 5 / 9.
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