Mathematics, 06.02.2021 02:40, marelinatalia2000

A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is pulled. What is the probability that the first card drawn is a diamond and the second card is a club?

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answered: kcruz87

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of independent events happening at the same time is the multiplication of the probabilities of each events.

First card:

A standard deck has 52 cards, of which 13 are diamonds. So

$P(A) = \frac{13}{52} = \frac{1}{4}$

Second card:

The first card is replaced, so still 52 cards, of which 13 are clubs. So

$P(B) = \frac{13}{52} = \frac{1}{4}$

What is the probability that the first card drawn is a diamond and the second card is a club?

Each drawing is independent, so

$P(A \cap B) = P(A)*P(B) = \frac{1}{4}*\frac{1}{4} = \frac{1}{16} = 0.0625$

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

answered: Guest

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

answered: Guest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

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A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is pulle...