Mathematics, 23.07.2019 00:30 lizdominguez101

Abox contains six cards numbered 1-6.i draw a card and do not put it back in the box. what is the probability of drawing a 2 and then a even number?

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Total Number of cards in the beginning = 6
Probability of drawing a card with 2 written on it = 1/6

This card is not placed back and now we have the cards 1,3,4,5 and 6.
So total number of cards = 5
Number of even cards = 2
Probability of picking an even card = 2/5

Probability of drawing a 2 and then a even number = 1/6 x 2/5 = 1/15

Answer from: klysse123

Heya folk

let six cards numbered from 1 - 6

is , 1 , 2 , 3 , 4 , 5 , 6

then Drawing of 2 , n = 1

But , Total number of cards , m = 6

so ,
$probability \: (e) = \frac{n}{m} \\ \\ = probability \: (2) = \frac{1}{6}$
And Number of even number over here are -

2 , 4 , 6

so , P ( Even number ) = 3 / 6 = 1/2 = 0.5

now it is also that the probability of 2 and then even number so ,

1/6 × 2/5 = 1/15

Hope this helps you ☺

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Answer from: Quest

idk

step-by-step explanation:

The vector 6,-5 is reflected across the y=x and the resulting matrix is dilated by a scale of -1.5

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