A12-centimeter stick has a mark at each centimeter. by breaking the stick at two of these eleven marks at random, the stick is split into three pieces, each of integer length. what is the probability that the three lengths could be the three side lengths of a triangle?

The probability that the lengths of the three segments are the side lengths of a triangle is 0.25.

Step-by-step explanation:

Consider the event "S" as "The three segments are the sides of a triangle." Remember that the probability of an event occurring is calculated according to:

By dividing the stick into three segments, the possible cases that can be obtained writing each case in parenteses and the length of each piece as a number are:

(1, 1, 10), (1, 2, 9), (1, 3, 8), (1, 4, 7), (1, 5, 6), (2, 2, 8), (2 , 3, 7), (2, 4, 6), (2, 5, 5), (3, 3, 6), (3, 4, 5), (4, 4, 4).

which corresponds to a total of 12 total cases.

The necessary condition so that a triangle can be formed is that the sum of its two minor sides is greater than the greater side, therefore the favorable cases would be:

(2, 5, 5), (3, 4, 5), (4, 4, 4)

which corresponds to a total of 3 favorable cases. Using the probability formula we obtain:

the answer is a

step-by-step explanation:

because your just changing the position of where the shape is

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.