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3 years ago

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You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $30. If it i

s not a face card, you pay $2. There are 12 face cards in a deck of 52 cards. What is the expected value of playing the game

1 answer:

Firlakuza [10]3 years ago

8 0

92 cardsㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

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Can someone help me? Brainliest + Points!

iris [78.8K]

Answer:

D. $\frac{2}{5}$

Step-by-step explanation:

Since we know that the odds of an events can be found by dividing the probability that an event will occur by the probability that the event will not occur.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{\text{Probability that event will not occur}}$

Probability of an event not occurring can be found by subtracting probability of the event occurring from 1.

$\text{Odds of an event}=\frac{\text{Probability that event will occur}}{1-\text{Probability that event will occur} }$

We have been given that probability of an event is 2/7.

Upon substituting our given values in above formula we will get,

$\text{Odds of the given event}=\frac{\frac{2}{7}}{1-\frac{2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{7-2}{7}} }$

$\text{Odds of the given event}=\frac{\frac{2}{7}}{\frac{5}{7}} }$

$\text{Odds of the given event}=\frac{2}{7}\times \frac{7}{5}$

$\text{Odds of the given event}=\frac{2}{5}$

Therefore, the odds of the same event are $\frac{2}{5}$ and option D is the correct choice.

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