Respuesta :
The probability of choosing two red cards would be 3/8, and the probability of choosing a blue card and a yellow card would be 1/30.
There are 10+4+2 = 16 cards total.
The probability of choosing 1 red card is 10/16; the probability of choosing a second red card would then be 9/15.
P(2 red) = 10/16(9/15) = 90/240 = 3/8.
The probability of choosing one blue card is 4/16; the probability of choosing a yellow card would then be 2/15.
P(blue and yellow) = 4/16(2/15) = 8/240 = 1/30.
There are 10+4+2 = 16 cards total.
The probability of choosing 1 red card is 10/16; the probability of choosing a second red card would then be 9/15.
P(2 red) = 10/16(9/15) = 90/240 = 3/8.
The probability of choosing one blue card is 4/16; the probability of choosing a yellow card would then be 2/15.
P(blue and yellow) = 4/16(2/15) = 8/240 = 1/30.
The probability of choosing two red cards is 3/8 and the probability of choosing the blue card and yellow card is 1/30
What is probability?
"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:
[tex]P(A)=\frac{n(A)}{n(S)}[/tex]
where [tex]n(A)[/tex] is the number of favorable outcomes
[tex]n(S)[/tex] is the total number of events in the sample space.
Given: a deck of cards with 10 red cards, 4 blue cards, and 2 yellow cards
total cards = 16
First we find the probability of choosing two red cards.
The probability of choosing one red card is 10/16.
Now, there are 15 cards in deck with 9 red cards.
The probability of choosing second red card would be 9/15.
So, the probability of choosing two red cards would be,
[tex]=\frac{10}{16} \times \frac{9}{15}[/tex]
[tex]=\frac{3}{8}[/tex]
Hence, the probability of choosing two red cards is 3/8 .
The probability of choosing one blue card is, [tex]\frac{4}{16} = \frac{1}{4}[/tex]
Now, we choose a blue card from remaining 15 cards.
The probability of choosing yellow card would be 2/15.
So, the probability of choosing blue and yellow card would be,
[tex]=\frac{1}{4} \times \frac{2}{15}[/tex]
[tex]=\frac{1}{30}[/tex]
Hence, the probability of choosing blue card and yellow card is 1/30 .
Learn more about probability here:
https://brainly.com/question/12478394
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