Best Answer

There are (64 x 63 x 62)/(3 x 2) possible sets of 3 squares;

there are 2 x (32 x 31 x 30)/(3 x 2) sets of 3 the same colour.

Of the 41664 possible threesomes, 9920 are identical in colour, a probability of 0.238

Added: This is identical to the probability of picking three odd or three even numbers from a bag containing the first 64 bingo balls!

Second add-on: I have amended the original answer which was wrong!

The alternative calculation is that after picking one square there are 31 of the remaining 63 which will be of the same colour and if that is so there will be 30 out of 62 to complete the trio. The calculation (simpler!) is thus 31/63 x 30/62 or 930/3906, a probability of 0.238.

Q: What is the probability if Three squares are randomly chosen from a chess board such that two of them have one color and the third square has another color is?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

As all the angles in a square measure 90°, the probability of 2 randomly chosen angles being congruent is 1.

It is 0.02

5/24, or five out of twenty four, or with numbers, five out of infinity

If 10 out of 26 are girls, then the probability of randomly choosing a boy is 16 out of 26, or 8 out of 13, or about 0.6154.

The probability that a randomly chosen student is a woman can be calculated by dividing the number of women by the total number of students in the class. In this case, there are 13 women and 31 total students, so the probability is 13/31, which simplifies to approximately 0.419 or 41.9%.

Related questions

As all the angles in a square measure 90°, the probability of 2 randomly chosen angles being congruent is 1.

They will certainly share the factor 1. Other than that, the probability is 1: it is nearly a certainty that that they will not share another common factor..

It is 0.02

There is 100% chance.

The probability is the ratio of the area of the shaded area to the area of the whole figure.

50 percent

5/24, or five out of twenty four, or with numbers, five out of infinity

If 10 out of 26 are girls, then the probability of randomly choosing a boy is 16 out of 26, or 8 out of 13, or about 0.6154.

The probability that a randomly chosen student is a woman can be calculated by dividing the number of women by the total number of students in the class. In this case, there are 13 women and 31 total students, so the probability is 13/31, which simplifies to approximately 0.419 or 41.9%.

It depends on how big the class is.

11.05%

least likely