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jarptica [38.1K]
3 years ago
10

It is cloudy outside. What is the first step of indirectly proving this statement?

Mathematics
1 answer:
Orlov [11]3 years ago
5 0
State the opposite (inverse) of that statement:
It is not cloudy outside.
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Suppose you and a friend each choose at random an integer between 1 and 8, inclusive. For example, some possibilities are (3,7),
Bezzdna [24]

Answer and explanation:

Given : Suppose you and a friend each choose at random an integer between 1 and 8, inclusive.

The sample space is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (1,7) (1,8)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)   (2,7) (2,8)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)   (3,7) (3,8)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)   (4,7) (4,8)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)   (5,7) (5,8)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)   (6,7) (6,8)

(7,1) (7,2) (7,3) (7,4) (7,5) (7,6)   (7,7) (7,8)

(8,1) (8,2) (8,3) (8,4) (8,5) (8,6)   (8,7) (8,8)

Total number of outcome = 64

To find : The following probabilities ?

Solution :

The probability is given by,

\text{Probability}=\frac{\text{Favorable outcome }}{\text{Total outcome}}

a) p(you pick 5 and your friend picks 8)

The favorable outcome is (5,8)= 1

\text{Probability}=\frac{1}{64}

b) p(sum of the two numbers picked is < 4)

The favorable outcome is (1,1), (1,2), (2,1)= 3

\text{Probability}=\frac{3}{64}

c) p(both numbers match)

The favorable outcome is (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (8,8) = 8

\text{Probability}=\frac{8}{64}

\text{Probability}=\frac{1}{8}

7 0
3 years ago
14 - 2(3p + 1) = 6(4/p)
GuDViN [60]
Is it divide after the equal sign? I will text you on message. follow me
3 0
3 years ago
I just need help with #16 … can someone please help me
laiz [17]

Answer: it goes up like 10,20,30,40

Step-by-step explanation:

7 0
3 years ago
Round to estimate the quotient 715÷11​
SashulF [63]

Answer: 63.63

Step-by-step explanation: Hope this helps. G'day mate!

4 0
2 years ago
Kelly’s Experimental Outcomes
maria [59]

Answer:

60% or 3/5

Step-by-step explanation:

Tails was the result 3 times.

There were 5 trials.

The probability is 3/5.

5 0
3 years ago
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