Probability questions with cards, Tree diagrams vs Tables
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1. If an ace has a face value of one, a 2 has a value of two, a Jack has a value of 11, and so on for all of the cards, what is the probability of drawing a card that has a face value of less than six?
2.
A friend tells you that a tree diagram can be used to generate the sample space for any experiment, but a table or grid can not.
(a) Is this true?
(b) Use examples to explain your response in part (a).
3.
A card is drawn form a standard deck of playing cards, returned to the deck, and then a second card is drawn. Determine the following probabilities:
a. Both cards are aces or both cards are face cards.
b. Both cards are red or both cards are face cards
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Solution Summary
Probability distribution of 2 or multiple cards drawn without replacement from a pack
Tree diagram vs Table/Grid
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I am including the solution to these questions below.
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OTA 103881
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1. If an ace has a face value of one, a 2 has a value of two, a Jack has a value of 11, and so on for all of the cards, what is the probability of drawing a card that has a face value of less than six?
There 13 possible values for cards.
Ace = 1.
2, 3, 4, 5, 6, 7, 8, 9, 10 for the numbered cards.
Jack = 11, Queen =12, King = 13.
Less than 6 means cards can be Ace or 2 or 3 or 4 or 5. Thus, there are 5 possible values.
Probability of face value less than 6 = 5/13
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2. A friend tells you that a tree diagram can be used to generate the sample space for any experiment, but a table or grid can not.
(a) Is this true?
No. This is not true. A tree diagram is only a convenient way to visualize all the outcomes in a sample space. This can also be done using a table but may be more ...
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