Annie writes the numbers 1 through 10 on note cards. She flips the cards over so she cannot see the number and selects three cards from the stack. What is the probability that she has selected the cards numbered 1, 2, and 3?

Step-by-step explanation:

Here, the total number of cards in the set = 10

The cards are numbered as 1,2,3,4,5,...., 10

P(Any event E)  =

P(picking a card with number 1)  =

Now when the first card is picked, the number of cards left = 10 - 1 = 9

P(picking a card with number 2)  =

Similarly, P(picking a card with number 3)  =

So, the total probability  that she has selected card with number 1, 2 and 3

=

Hence,  the probability that she has selected the cards numbered 1, 2, and 3 is

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step-by-step explanation:

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