A bag contains 31 red blocks, 49 green blocks, 24 yellow blocks, and 21 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability.

P(green or red)

The probability of picking a green block or red block is 0.64 (or 64%)

Step-by-step explanation: The total number of blocks can be derived as;

31 (R) + 49(G) + 24(Y) + 21(P) = 125

With 125 blocks in total, there are 125 possibilities and the possibility of picking any of the four colors shall be be determined as a fraction of the entire possible outcomes.

The probability of picking a green ball when picked at random is given as;

P(Green) = Number of required outcomes ÷ Number of all possible outcomes

P(Green) = 49/125

(Note that there are 49 green blocks and a total of 125 blocks of all four colors)

Also the probability of picking a red ball when picked at random is given as;

P(Red) = Number of required outcomes ÷ Number of all possible outcomes

P(Red) = 31/125

The probability of picking a green block or a red block is given as P(green or red)

P(Green or Red) = 49/125 + 31/125

P(Green or Red) = 80/125

P(Green or Red) = 16/25

P(Green or Red) = 0.64

Therefore the probability of picking a green or red block at random is 0.64 or 64%

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)

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