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anonymous

  • 5 years ago

You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a card that contains one of the letters in the word 'MATH'? A) 1 676 B) 2 13 C) 2 26 D) 3 26

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  1. anonymous
    • 5 years ago
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    1/676, 2/13, 2/26, and 3/26? those are the options?

  2. anonymous
    • 5 years ago
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    yes, sorry.

  3. anonymous
    • 5 years ago
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    in 'MATH' there are 4 unique letters. there are also 26 unique letters in the alphabet. Therefore, when you are choosing just one card, you have a 1/26 chance of selecting a given letter....so this question is only about choosing 1 card, but it's acceptable for that card to be M or A or T or H. so each letter has 1/26 chance of being selecting. because it's OK to get any of the letters in MATH, you have a better chance of obtaining a letter that you want. so you have the probability of obtaining a "M" plus that of obtaining an "A" plus...

  4. anonymous
    • 5 years ago
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    so, of the answer choices, which will you choose?

  5. anonymous
    • 5 years ago
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    :s

  6. anonymous
    • 5 years ago
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    all right, let's start with this idea. If I wanted to pull an "A" card, what is the probability of obtaining the "A"? there is only 1 A in all of the 26 cards

  7. anonymous
    • 5 years ago
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    1/26

  8. anonymous
    • 5 years ago
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    right

  9. anonymous
    • 5 years ago
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    ok, so for any 1 letter, the probability of obtaining it is 1/26.

  10. anonymous
    • 5 years ago
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    mhm

  11. anonymous
    • 5 years ago
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    ok, for the question, you can select 1 card, but it's OK if the letter is equal to any of the 4 in "MATH"

  12. anonymous
    • 5 years ago
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    so 4/26?

  13. anonymous
    • 5 years ago
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    imagine that I want to select 1 card, and I will accept the card if it is any letter EXCEPT "A", therefore, there is 1/26 probability of selecting "A", and a (1-1/26) = 25/26 probability of selecting any other letter....

  14. anonymous
    • 5 years ago
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    nice, how did you get that, 4/26?

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