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schepotkina [342]
3 years ago
7

Two cards are drawn at random from a standartd deck of 52 cards. what is the probability that both cards are aces?

Mathematics
1 answer:
juin [17]3 years ago
6 0
The probability of the first card being an ace is 4/52 because there are 4 aces in a deck, but because there is no replacement, the probability for the second card being an ace is 3/51. To find the probability of both happening, you multiply to get 3 × 4 = 12 and 51 × 52 = 2652, which gives you 12/2652 = 2/442 = 1/221, your final answer. I hope this helps!
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Its 2 8/15 Conversion a mixed number 1 2
5
to a improper fraction: 1 2/5 = 1 2
5
= 1 · 5 + 2
5
= 5 + 2
5
= 7
5


To find new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5
5
= 5
5

b) Add the answer from previous step 5 to the numerator 2. New numerator is 5 + 2 = 7
c) Write previous answer (new numerator 7) over the denominator 5.

One and two fifths is seven fifths
Conversion a mixed number -1 2
15
to a improper fraction: -1 2/15 = -1 2
15
= -1 · 15 + (-2)
15
= -15 + (-2)
15
= -17
15


To find new numerator:
a) Multiply the whole number -1 by the denominator 15. Whole number -1 equally -1 * 15
15
= -15
15

b) Add the answer from previous step -15 to the numerator 2. New numerator is -15 + 2 = -13
c) Write previous answer (new numerator -13) over the denominator 15.

Minus one and two fifteenths is minus thirteen fifteenth
Subtract: 7
5
- (-17
15
) = 7 · 3
5 · 3
- (-17)
15
= 21
15
- (-17
15
) = 21 - (-17)
15
= 38
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The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 15) = 15. The fraction result cannot be further simplified by cancelling.
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