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valentinak56 [21]
3 years ago
13

A card is drawn randomly from a standard deck of cards. you win $10 if the card is a spade or an ace. what is the probability th

at you will win the game?
Mathematics
1 answer:
klio [65]3 years ago
3 0
The probability of winning is 4/13.

These two events are not mutually exclusive; this means they can happen at the same time.  For two events that are not mutually exclusive,

P(A or B) = P(A) + P(B) - P(A and B)

This gives us 
P(spades or Ace) = P(spades) + P(Ace) - P(spades and Ace)

There are 13 spades out of 52 cards.
There are 4 aces out of 52 cards.
There is 1 card that is a spade and an ace out of 52 cards.

13/52 + 4/52 - 1/52 = 16/52 = 4/13
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1.556061

Step-by-step explanation:

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Given that 1 inch = 2.54 cm enter the value that will complete this expression for converting 3.5 feet to cm
Lerok [7]

Answer:

106.68

Step-by-step explanation:

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7 0
3 years ago
Which set of angle measures could be the interior angles of a triangle? A. 15°, 48°, 27° B. 56°, 45°, 46° C. 42°, 84°, 64° D. 93
TEA [102]

Answer:

D. 93°, 29°, 58°

Step-by-step explanation:

In a triangle we can only have 3 Interior angles.

The sum of the Interior angles in a triangle = 180°

Adding up the given Interior angles in the above question:

A. 15°, 48°, 27°

= 15° + 48° + 27°

= 90°

90° ≠ 180°

Option A is wrong

B. 56°, 45°, 46°

= 56 ° + 45° + 46°

= 147°

147° ≠ 180°

Option B is wrong

C. 42°, 84°, 64°

= 42° + 84° + 64°

= 190°

= 190° ≠ 180°

Option C is wrong.

D. 93°, 29°, 58°

93° + 29° + 58°

= 180°

180° = 180°

Option D is the correct Option.

Therefore, the set of angle measures that could be the interior angles of a triangle is Option D. 93°, 29°, 58°

8 0
3 years ago
0.25% of 42 is what number
Alborosie

Answer:

0.105

Step-by-step explanation:

0.25/100 x 42 = 0.105

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2 years ago
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Brian invests £990 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 4 years? Giv
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Step-by-step explanation:

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