Question

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.

Answer 1

Answer: the probability would be 1:5

Step-by-step explanation: since there are 2 m you would put that on top and divide it by all the others and there are 10 of them and then simplifie it and get the answer

Answer 2

P ( not M)= 4/5

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