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vaieri [72.5K]
3 years ago
12

Blackjack, or twenty-one as it is frequently called, is a popular gambling game played in Las Vegas casinos. A player is dealt t

wo cards. Face cards (jacks, queens, and kings) and tens have a point value of 10. Aces have a point value of 1 or 11. A 52-card deck contains 16 cards with a point value of 10 (jacks, queens, kings, and tens) and four aces. a. W hat is the probability that both cards dealt are aces or 10-point cards
Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

=\frac{5}{13}

Step-by-step explanation:

Total Number of Cards=52

Number of Cards having a point value of 10=16

Number of Aces=4

We want to determine the probability that both cards dealt are aces or 10-point cards.

P(Aces) = \frac{4}{52}

P(10 point cards)=\frac{16}{52}

Definition

If A and B are mutually exclusive events,

Probability (A OR B) = P(A)+P(B)

P(both cards dealt are aces or 10-point cards) = P(Aces) + P(10 point cards)

=\frac{4}{52}+\frac{16}{52}

=\frac{20}{52}= \frac{5}{13}

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2(x+7)-2(9x-0.4)

2x+14-18x+0.8

-2x+14-18x+0.8

14-16x+0.8

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What is the rational number that is equivalent to a -24 / -6
saw5 [17]

Answer:

4

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In ABC, side BC is extended to point E. When connected to vertex A, segment EA is parallel to segment BD. In this construction,
Anuta_ua [19.1K]

Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:

a. angle 1 is <u>congruent</u> to angle 2.

b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.

c. \frac{AD}{CD} = \frac{AB}{CB}

The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.

From the given <u>diagram</u> in the question, it can be deduced that

ΔABC ≅ ΔABE (<em>substitution</em> property of equality)

Given that EA is <u>parallel</u> to BD, then:

i. <2 ≅ <3 (<em>corresponding</em> angle property)

ii. <1 ≅ < 4 (<em>alternate</em> angle property)

Thus, the required options to complete the <em>paragraph proof</em> are:

  • Angle 1 is <em>congruent</em> to angle 2.
  • Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
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For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927

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