Mathematics: Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjacent to the yellow bead?

You may notice that the expression is a difference of squares, with as one of the squares and as the other square.Now, we can apply the Difference of Squares formula:In this case, we can say and . We are going to need to find and . To do this, we can take the square root of both sides of the prior two equations.We can now use the equation to find our result:You can see that Choice C, or 10b + 12a² is a factor....

Three black beads, two red beads, and a yellow bead

Ответ:

coopera1744

28.01.2022

Mathematics

Probability of no black bead is adjacent to the yellow bead is = 0.966

Step-by-step explanation:

First to arrange all the beads without restrictions = 6! = 720

Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720

= 0.0333

Probability of no black bead is adjacent to the yellow bead is

= 1- Probability the black bead is adjacent to Yellow bead

= 1-0.033

= 0.966

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Ответ:

shrinu

25.11.2020

Mathematics

You may notice that the expression is a difference of squares, with 100b^2 as one of the squares and 144a^4 as the other square.

Now, we can apply the Difference of Squares formula:

a^2 - b^2 = (a - b)(a + b)

In this case, we can say a^2 = 100b^2 and b^2 = 144a^4 . We are going to need to find and . To do this, we can take the square root of both sides of the prior two equations.