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In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

8 0

3 years ago

What is 5 times 5 minus 2?

Mila [183]

5 times 5 is 25 so all you have to do is subtract two from that.

Your answer is 23.

5 0

3 years ago

Read 2 more answers

classify the following triangle. check all that apply. A: Acute B: Right C: Obtuse D: Equilateral E: Scalene F: Isosceles

Maurinko [17]

Answer:

Step-by-step explanation:

Acute : An acute triangle is one in which all the angles less than 90 degree.

Right: Any triangle whose one angle measure is 90 degrees is called Right angled triangle.

Obtuse angle: Any triangle whose one angle measures more than 90 degrees is called Obtuse angled triangle.

Equilateral : Any triangle whose all the sides are equal are called equilateral triangle. They also have all the angle equal which measures 60 degrees.

Scalene triangle : The triangle whose length of all the sides are different from each other are called scalene triangle.

Isosceles : the triangle whose two sides length are equal are called Isosceles triangle.

5 0

4 years ago