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OpenStudy (anonymous):
Can you solve and show your steps so I can see how to solve these types of questions?
There are 52 cards in a deck. There are 4 eights and 4 nines. What is the probability that if you cut the deck, you'll get an eight or a nine? Express your answer as a decimal number rounded to the hundredths place.
12 years ago
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jimthompson5910 (jim_thompson5910):
how many 8s or 9s are there?
12 years ago
OpenStudy (anonymous):
4..
12 years ago
jimthompson5910 (jim_thompson5910):
there are 4+4 = 8 cards that are either 8 or 9
12 years ago
jimthompson5910 (jim_thompson5910):
this is out of 52 cards total
12 years ago
OpenStudy (anonymous):
reqd. p\[reqd. probability=\frac{ 4 }{ 52 }+\frac{ 4 }{52 }\]
12 years ago
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jimthompson5910 (jim_thompson5910):
so the probability as a fraction is
8/52 = 2/13
use a calculator to get 2/13 = 0.15384615 and this rounds to 0.15, which is your final answer
12 years ago
OpenStudy (anonymous):
Ohhhhhh ok, thanks sooooo much :)
12 years ago
jimthompson5910 (jim_thompson5910):
yw
12 years ago
OpenStudy (anonymous):
hey jim could you help me
12 years ago
jimthompson5910 (jim_thompson5910):
yeah either send me a direct message or tag me
12 years ago
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OpenStudy (anonymous):
\[P \left( A \cup B \right)=P \left( A \right)+P \left( B \right)\]
\[P \left( A \right)=\frac{ 4 }{ 52 }\]
Similarly P(B)
12 years ago
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