True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events

Mathematics

2 answers:

s2008m [1.1K]3 years ago

6 0

Answer:false

Step-by-step explanation:

alukav5142 [94]3 years ago

4 0

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be $\frac{4}{52}$

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. Thus, the answer to this question is TRUE

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Margin of Error = E = 2.7 % = 0.027
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Proportion of adults in favor = p = 60% = 0.6

We need to find the confidence level. For this first we need to find the z value.

The margin of error for a population proportion is given as:

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