Luis choosing one card from the deck then choosing a second card without replacing the first. Is this independent or dependent

Mathematics

1 answer:

ElenaW [278]3 years ago

3 0

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Step-by-step explanation:

Lets define independent and dependent events first.

<u>Independent events:</u>

The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.

<u>Dependent events:</u>

The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.

Now,

When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.

Hence,

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Keywords: Probability, dependent events

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