0

# 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?

Updated: 11/1/2022

Wiki User

12y ago

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!

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.

Wiki User

12y ago

Earn +20 pts
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?
Submit
Still have questions?
Related questions

### What is the probability of 2 randomly chosen angles of a square being congruent?

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

### What is the probability that 2 randomly chosen binomials with integer coefficients share no common factors?

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

### What is the probability of finding five numbers of six digits chosen randomly from 100000 to 999999?

There is 100% chance.

### How can you find the probability that a randomly chosen point in a figure lies in the shaded region?

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

50 percent

### What is the probability that a randomly chosen letter is a vowel?

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

### What is the probability a boy is chosen if their are 26 kids and 10 are girls?

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.

### A nursing class has 13 women and 18 men If a student is chosen randomly to be the team leader what is the probability the student is a woman?

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%.

### If two students are chosen randomly at the same class what is probability to have the same birthday is it likely or unlikely?

It depends on how big the class is.

11.05%

least likely