Question

Haw matiy sets of feur irarbles inctuite cuactiy twe green martied) (Mote that this meass there nast be twa other non igreen marties at weil). xe seth commotses are provele? Hew many sets of four marhies incude exacty two green marbles? (Note that this means there must be two other nan-green marples as weil- x set commitres are gosileie?

Answer 1

The probability of drawing two green marbles and two non-green marbles from a bag containing four green marbles, three red marbles, and two yellow marbles is 60 sets.

Step-by-step explanation:

The probability of drawing exactly two green marbles from a bag containing four green marbles, three red marbles, and two yellow marbles can be calculated using combinations.

Since we need exactly two green marbles, we can choose 2 green marbles out of 4 in C(4, 2) ways.

The remaining two marbles must be non-green, so we can choose 2 non-green marbles out of 5 (3 red + 2 yellow) in C(5, 2) ways.

Therefore, the total number of sets with two green marbles is C(4, 2) * C(5, 2) = 6 * 10 = 60 sets.