3 years ago

One card is dealt from a 52 card deck. Find the probability that the dealt card is a 4 or a black 7

Mathematics

2 answers:

Alex Ar [27]3 years ago

7 0

The probability that the dealt card is a 4 is 4/52.
&
the probability that the dealt card is a black 7 is 2/52.

patriot [66]3 years ago

5 0

Answer: 6/52 (Fraction)

Step-by-step explanation:

We know that there is 26 black cards, therefore 2 black 7's we also know there is four 4's in the pack therefore we add the 2 + 4 = 6 and it has to be in a fraction so it becomes 6/52

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Harrizon [31]

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3 years ago

A catering service offers 11 appetizers, 12 main courses, and 8 desserts. A customer is to select 9 appetizers, 2 main courses,

Blizzard [7]

Answer: 203,280

Step-by-step explanation:

Given: A catering service offers 11 appetizers, 12 main courses, and 8 desserts.

Number of combinations of choosing r things out of n = $^nC_r=\dfrac{n!}{r!(n-r)!}$

A customer is to select 9 appetizers, 2 main courses, and 3 desserts for a banquet.

Total number of ways to do this: $^{11}C_9\times ^{12}C_2\times^{8}C_3$

$=\dfrac{11!}{9!2!}\times\dfrac{12!}{2!10!}\times\dfrac{8!}{3!5!}\\\\=\dfrac{11\times10}{2}\times\dfrac{12\times11}{2}\times\dfrac{8\times7\times6}{3\times2}\\\\= 203280$