The letters of the word COMPLEMENT are written on cards and shuffled. Find the probability that the card chosen does not have the letter M written on it.

P ( not M)= 4/5

Step-by-step explanation:

We want to find the probability that if a card is chosen, it does not have the letter M on it.

The probability can be found by creating a fraction with the number of cards that do not have M over the total number of cards.

P (not M) = cards without M / total cards

The word complement has 10 letters, therefore there is a total of 10 cards.

P (not M) = cards without M/ 10

There are 2 cards with an M. That will leave 8 cards without an M. (10 total cards - 2 cards with M= 8 cards without M).

P (not M)= 8/10

This fraction can be simplified. Both the numerator (top number) and denominator (bottom number) can be divided by 2.

P (not M)= (8/2) / (10/2)

P (not M)= 4/ (10/2)

P (not M) = 4/5

The probability of choosing a card without the letter M on it is 4/5

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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