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Anna11 [10]
4 years ago
13

a card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is choose . what is a q

ueen probability that the first card chosen is a queen and the second is a jack
Mathematics
1 answer:
Lady bird [3.3K]4 years ago
7 0
Hey!

Experiment 1: A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack?

Analysis: The probability that the first card is a queen is 4 out of 52. However, if the first card is not replaced, then the second card is chosen from only 51 cards. Accordingly, the probability that the second card is a jack given that the first card is a queen is 4 out of 51.

Conclusion: The outcome of choosing the first card has affected the outcome of choosing the second card, making these events dependent.

Definition: Two events are dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.

Now that we have accounted for the fact that there is no replacement, we can find the probability of the dependent events in Experiment 1 by multiplying the probabilities of each event. Experiment 1: A card is chosen at random from a standard deck of 52 playing cards. Without replacing it, a second card is chosen. What is the probability that the first card chosen is a queen and the second card chosen is a jack?

Probabilities:

<span><span>P(queen on first pick) =  4 </span>52 <span>P(jack on 2nd pick given queen on 1st pick) =  4 </span>51 <span>P(queen and jack) =  4 <span> · </span> 4  =   16   =   4  </span><span>52512652663</span></span>

Experiment 1 involved two compound, dependent events. The probability of choosing a jack on the second pick given that a queen was chosen on the first pick is called a conditional probability.


Hope this helps! ~Nadia~

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17-5(2x-9)=-(-6x+10)+4
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On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.

17 - 5(2x - 9) = (6x -10) + 4

The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.

17 - 5(2x - 9) = 6x - 6

Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.

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After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.

62 + 10x = 6x - 6

Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.

62 + 10x = 6x - 6
         -6x    -6x
62 + 4x = -6

Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.

4x = -68

Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4        4
x = 17

Final Answer: x = -17














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g100num [7]

Answer: 33.3%

s Step-by-step explanation: The combined arc length of the red area is 120, which is 1/3 of 360, the full arc. So the probability is 1/3, or 33.3%. Hope this helps!

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