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marissa [1.9K]
3 years ago
8

. Toss a coin two times. Outcome Probability

Mathematics
1 answer:
Katen [24]3 years ago
7 0

All the possibilities of two tosses are:

H - H

H - T

T - H

T - T

<u>Probabilities</u>:

no Heads . . . 0.25

no Tails . . . . . 0.25

one Heads . . . 0.5

one Tails . . . . . 0.5

two Heads . . . 0.25

two Tails . . . . . 0.25

at least one Heads . . . 0.75

at least one Tails . . . . . 0.75

the two results are the same . . . 0.5

the two results are different . . . 0.5

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Which of the following expressions are equivalent to - -13/12
RUDIKE [14]

If is -(-13/12) then A. -13/-12

If is -13/12 then B. 13/-12

-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}

6 0
1 year ago
The numbers 1 through 12 are written on 12 slips of paper, with a different number on each paper slip, and placed in a bag. One
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If you're asking for the number of digits smaller than 13 in the bag:12
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3 years ago
DISCRETE MATHEMATIC
Jet001 [13]

Answer:

The conclusion "T" logically follows from the premises given and the argument is valid

Step-by-step explanation:

Let us use notations to represent the steps

P: I take a bus

Q: I take the subway

R: I will be late for my appointment

S: I take a taxi

T: I will be broke

The given statement in symbolic form can be written as,

(P V Q) → R

S → (¬R ∧ T)

(¬Q ∧ ¬P) → S

¬R

___________________

∴ T

PROOF:

1. (¬Q ∧ ¬P) → S                Premise

2. S → (¬R ∧ T)                  Premise

3. (¬Q ∧ ¬P) → (¬R ∧ T)    (1), (2), Chain Rule

4. ¬(P ∨ Q) → (¬R ∧ T)      (3), DeMorgan's law

5. (P ∨ Q) → R                   Premise

6. ¬R                                 Premise

7. ¬(P ∨ Q)                        (5), (6), Modus Tollen's rule

8. ¬R ∧ T                          (4), (7), Modus Ponen's rule

9. T                                   (8), Rule of Conjunction

Therefore the conclusion "T" logically follows from the given premises and the argument is valid.

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Step-by-step explanation:

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