A box is filled with 2 blue cards, 4 brown cards, and 6 yellow cards. A card is chosen at random from a box. What is the probability that the card is not brown?

Respuesta :

Answer:

Therefore the probability that the card is not brown is [tex]\frac12[/tex].

Step-by-step explanation:

Probability: Probability is the ratio of the favorable outcome to the total outcome.

[tex]Probability =\frac{\textrm{Favorable outcome}}{\textrm {Total outcome}}[/tex]

Given that, a box contains  2 cards blue in color , 4 cards brown in color and 6 cards yellow in color.

Total number of cards= (2+4+6)=12

∴P(getting a brown card)

[tex]=\frac{\textrm{No. of brown card}}{\textrm{Total no. of card}}[/tex]

[tex]=\frac{6}{12}[/tex]

[tex]=\frac12[/tex]

∴P(not getting a brown card)

=1 - P(getting a brown card)

[tex]=1-\frac12[/tex]

[tex]=\frac12[/tex]

Therefore the probability that the card is not brown is [tex]\frac12[/tex].

Answer:

2/3

Step-by-step explanation:

hey there!

so our first step is to find the total number of cards

2+4+6=12

now we have to find the number of cards that are not brown

2+6=8

the probability would be 8/12

this can be simplified to 2/3 by dividing the numerator and denominator by 4

2/3 is also equal to 66.67%

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