1. GY Thirteen cards are dealt on the table from a deck of standard playing cards. Compute the probabilities: (a) Pr (there is a queen of clubs on the table) (b) Pr (all cards from the same suit) (c) Pr (all same suit | queen of clubs is dealt) ANS (b) 4 C 3. Determine the number of ways to deal 13 cards on the table - having the same suit (e.g. 13 diamonds, 13 clubs, etc.) - from a standard deck of playing cards. ANS 4 5 F6 F7 DII F8 2. Two dice are rolled. Compute the probabilities: (a) a = Pr (first die=2) (b) b = Pr (sum=5} (c) c = Pr ({sum=5} AND {second die=3}) (d) d= Pr (first die=1) (e) e Pr (sum=7) (f) f = Pr ({sum=7} AND {second die=6}) (g) Explain why f= d * e, but c*a*b (* denotes multiplication) 4. Determine the number of ways to deal 13 cards on the table - having aces of diamonds and clubs - from a standard deck of playing cards. F9 F10 F11 F12

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Hello I need help with questions 1,2,3, and 4 please. Doesn’t have to be all of them.
**1**. Thirteen cards are dealt on the table from a deck of standard playing cards. Compute the probabilities:

(a) Pr (there is a queen of clubs on the table)

(b) Pr (all cards from the same suit)

(c) Pr (all same suit | queen of clubs is dealt)

**ANS** (b) \(\frac{4}{\binom{52}{13}}\)  (c) \(\frac{4}{\binom{52}{13}}\)

**2**. Two dice are rolled. Compute the probabilities:

(a) \(a = \text{Pr (first die=2)}\)

(b) \(b = \text{Pr (sum=5)}\)

(c) \(c = \text{Pr ( {sum=5} AND {second die=3})}\)

(d) \(d = \text{Pr (first die=1)}\)

(e) \(e = \text{Pr (sum=7)}\)

(f) \(f = \text{Pr ( {sum=7} AND {second die=6})}\)

(g) Explain why \(f = d * e\), but \(c \neq a * b\) (* denotes multiplication)

---

**3**. Determine the number of ways to deal 13 cards on the table – having the same suit (e.g., 13 diamonds, 13 clubs, etc.) – from a standard deck of playing cards.

**ANS** 4

**4**. Determine the number of ways to deal 13 cards on the table – having aces of diamonds and clubs – from a standard deck of playing cards.
Transcribed Image Text:**1**. Thirteen cards are dealt on the table from a deck of standard playing cards. Compute the probabilities: (a) Pr (there is a queen of clubs on the table) (b) Pr (all cards from the same suit) (c) Pr (all same suit | queen of clubs is dealt) **ANS** (b) \(\frac{4}{\binom{52}{13}}\) (c) \(\frac{4}{\binom{52}{13}}\) **2**. Two dice are rolled. Compute the probabilities: (a) \(a = \text{Pr (first die=2)}\) (b) \(b = \text{Pr (sum=5)}\) (c) \(c = \text{Pr ( {sum=5} AND {second die=3})}\) (d) \(d = \text{Pr (first die=1)}\) (e) \(e = \text{Pr (sum=7)}\) (f) \(f = \text{Pr ( {sum=7} AND {second die=6})}\) (g) Explain why \(f = d * e\), but \(c \neq a * b\) (* denotes multiplication) --- **3**. Determine the number of ways to deal 13 cards on the table – having the same suit (e.g., 13 diamonds, 13 clubs, etc.) – from a standard deck of playing cards. **ANS** 4 **4**. Determine the number of ways to deal 13 cards on the table – having aces of diamonds and clubs – from a standard deck of playing cards.
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