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balu736 [363]
3 years ago
15

A card is drawn at random from a deck. what is the probability that it is an ace or a king?

Mathematics
1 answer:
hjlf3 years ago
6 0
There are 52 cards. Of this, there are 4 aces (one of each of the four suits) and 4 kings. There are 4+4 = 8 cards that are either an ace or a king (but not both). Note that the events "drawing an ace" and "drawing a king" are mutually exclusive. Being mutually exclusive means its impossible to have both events occur simultaneously for any single card.

So there are 8 cards we want (ace or king) out of 52 total

Dividing the two values, and reducing fully, gives:
8/52 = (4*2)/(4*13) = 2/13

The final answer as a fraction is 2/13
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Step-by-step explanation:

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Answer:

  • The first option: $265.05

Step-by-step explanation:

<h3>Option 1</h3>

<u>Payment as sequence:</u>

  • 11.75, 12.10, 12.45, ...

<u>This is an AP with:</u>

  • The first term a = 11.75
  • Common difference d = 0.35
  • Number of terms n = 18

<u>Find the sum of the first 18 terms:</u>

  • S₁₈ = (a + a₁₈)*18/2 = (a + a + 17d)*9 = (11.75*2 + 17*0.35)*9  = $265.05
<h3>Option 2</h3>

Flat rate $14.50 per hour

<u>The sum is:</u>

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<u>Compared, we see the first option pays more:</u>

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