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kari74 [83]
2 years ago
12

There are 10 yellow, 6 green, 9 orange, and 5 res cards in a stack of cards turned face down. once a card is selected, it is not

replaced. determine each probability.
p(2 yellow cards)​

Mathematics
1 answer:
Vika [28.1K]2 years ago
7 0

Answer:

10+6+9+5= 40

So there are

\frac{10}{40} are yellow cards \frac{6}{40} are green cards \frac{9}{40} are orange cards \frac{5}{40} red cards

now we have to get the percentages

\frac{10}{40} = \frac{25}{100}

\frac{6}{40} =  \frac{15}{100}

\frac{9}{40} =  \frac{22.5}{100}

\frac{5}{40} =  \frac{12.5}{100}

so the probability of getting...

<u>yellow is 25%</u>

<u>green is 15%</u>

<u>orange is 22.5%</u>

<u>red is 12.5%</u>

<u />

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Lina20 [59]

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards =  1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}

P_1=\dfrac{2}{6}

P_1=\dfrac{1}{3}

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}

P_2=\dfrac{1}{5}

The probability of drawing 2 even numbers is:

P=P_1\times P_2

P=\dfrac{1}{3}\times \dfrac{1}{5}

P=\dfrac{1}{15}

Therefore, the probability of drawing 2 even numbers is \dfrac{1}{15}. Hence, the correct option is (b).

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Answer:

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Step-by-step explanation:

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