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Marbles are being drawn without replacement from a bag containing 10 marbles. ​(a) How many samples of 4 marbles can be​ drawn? ​(b) How many samples of 3 marbles can be​ drawn? ​(c) If the bag contains 4 ​yellow, 3 ​white, and 3 blue​ marbles, how many samples of 2 marbles can be drawn in which all marbles are​ blue

Respuesta :

Manetho

Answer:

a. 210

b. 120

c. 3

Step-by-step explanation:

a) 4 marbles can be drawn in [tex]10C_4[/tex] ways

= 210 ways.

b)3 samples of marbles can be drawn in  [tex]10C_3[/tex] ways

= 120 ways

c) 2 blue marbles out of 10 marbles in which only 3 are blue =

 [tex]3C_2[/tex] = 3 ways

okpalawalter8

The various probability of  Marbles getting drawn is mathematically given as

x= 210 ways.

y= 120 ways

z= 3 ways

Marbles drawn probability

Generally we make use of the combination Rule to discern the probability

a) 4 marbles can be drawn

x=10C4 in ways

x= 210 ways.

b) 3 samples of marbles can be drawn

y= 10C3ways

y= 120 ways

c) 2 blue marbles out of 10 marbles in which only 3 are blue can be drawn in  

z=10C2way

z= 3 ways

For more information on Arithmetic

https://brainly.com/question/22568180

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