Suppose we select without looking one marbles de containing 5 red marbles and 7 green marbles What is the probability of selecting each of the following a) A red marble c) A purple marble b) A green marble d) Ared or a green marble a) What is the probably 3​

a) 5/12 probability of selecting a red marble.

b) 7/12 probability of selecting a green marble.

c) 0% probability of selecting a purple marble.

d) All marbles are either red or green, so 100% probability of selecting a red or a green marble

Step-by-step explanation:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

a) A red marble

5 red marbles out of 5 + 7 = 12 total marbles

So, 5/12 probability of selecting a red marble.

b) A green marble

7 green marbles out of 5 + 7 = 12 total marbles

So, 7/12 probability of selecting a green marble.

c) A purple marble

There are no purple marbles, so 0% probability of selecting a purple marble.

d) A red or a green marble

All marbles are either red or green, so 100% probability of selecting a red or a green marble

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.