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Valentin [98]
3 years ago
9

Using a standard deck of playing cards, what is the probability of drawing a four, replacing the card, and then drawing a club?

Mathematics
1 answer:
V125BC [204]3 years ago
7 0

Answer:

D. 1/52

Step-by-step explanation:

There are four 4s in a deck of 52 cards, so there is a 4/52 chance of drawing a four on the first try.

Once you replace the card in the deck, the simulation starts over, meaning the events are independent and you are once again drawing from 52 possible cards.

Now, when you draw the club, the chance of this is 13/52 because there are 13 clubs in a deck.

Because events are independent, multiply the probabilities to determine the chance that both events occur.

\frac{4}{52} * \frac{13}{52}   =  1/52

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8 0
3 years ago
The number of candies in bags of the same size is normally distributed with a mean of 145 candies and a standard deviation of 3
Virty [35]

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<u>The correct answer is A. 109</u>

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly:

Mean of candies in bags = 145

Standard deviation = 3

Number of bags of candies on a shelf = 160

2. About how many bags of candies are expected to have between 142 candies and 148 candies?

Let's recall that in a normal distribution, the 68.2% of the sample or the population is between minus one and plus one time the standard deviation.

For our case, the 68.2% of the bags of candies are expected to have between minus one time the standard deviation (145 - 3) and plus one time the standard deviation (145 + 3).

<u>It means that 109 bags (0.682 * 160)  are expected to have between 142 and 148 candies. The correct answer is A. 109.</u>

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