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You have a deck of cards and draw three cards one after the other without replacing the cards. What is the probabilities of drawing three tens? (Pls give a good explanation & the answer lol)

Sagot :

Karlamidoriidn

Answer:

The probability of drawing 3 tens one after another without replacing them is 1/5525

Step-by-step explanation:

In a pack of 52 cards, there are 4 cards that are 10, so the probability of drawing one ten [p(10)] = 4/52

Therefore:

The first draw, P(10) = 4/52  

Now, at this point you have taken out one of the cards with a number 10 printed on it, so we are left with 51 cards in total and 3 cards of 10.

The second draw, p(10) = 3/51

Now, we have 50 cards left and a total of 2 cards with a number 10 printed on it.

The third draw, p(10) = 2/50

Hence, the probability of drawing out 3 number 10 cards without replacement is:

4/52 * 3/51 * 2/50 = 1/5525  

The probability of drawing 3 tens one after another without replacing them should be 1/5525.

Calculation of the probability:

Since  we know that

In a pack, there are 52 cards and there are 4 cards that are 10,

so the probability of drawing one ten [p(10)] = 4/52

Now it should be left with 51 cards in total and 3 cards of 10.

So, The second draw, p(10) = 3/51  

and, The third draw, p(10) = 2/ 50

Thus,  the total probability is

= 4/52 * 3/51 * 2/50

= 1/5525

Learn more about probability here: https://brainly.com/question/24361544

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