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Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability.

(a) List the sample points in the event an ace is selected.

(b) List the sample points in the event a club is selected.

 

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Priyanshu Patel
Priyanshu PatelLv10
10 Mar 2021
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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

A standard deck of cards contains 52 cards. One card is selected from the deck.

Two cards are drawn successively and without replacement from an ordinary deck of playing cards Compute the probability of drawing

a. Two hearts.

b. A heart on the first draw and a club on the second draw.

c. A heart on the first draw and an ace on the second draw.

 

Hint: In part (c), note that a heart can be drawn by getting the ace of hearts or one of the other 12 hearts.

ou draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

(a) Are the outcomes on the two cards independent? Why?

No. The probability of drawing a specific second card depends on the identity of the first card.

No. The events cannot occur together.

Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

Yes. The events can occur together.

(b) Find P(3 on 1st card and 10 on 2nd). (Enter your answer as a fraction.)

(c) Find P(10 on 1st card and 3 on 2nd). (Enter your answer as a fraction.)

(d) Find the probability of drawing a 10 and a 3 in either order. (Enter your answer as a fraction.)

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