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Anvisha [2.4K]
3 years ago
13

Why should the sum of the probabilities in a probability distribution always equal to 1?

Mathematics
2 answers:
galben [10]3 years ago
8 0

Answer:

The total probability of a set of related events sums up to 1 because the probability of each individual event in the set is a fraction of the whole. For example, suppose you flip a fair coin a large number of times.

luda_lava [24]3 years ago
3 0

Answer:

If u add probabilities of all possible outcomes that should be one, because classical definition of probability is number of possible out comes divided by total number of outcomes. When you add all probabilities numerator and denominator are equal so answer is one.

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A card is drawn at random from a pack of 52 playing cards. Given that the card is a diamond, find the probability that the card
lesantik [10]

Answer:

1/52

Step-by-step explanation:

There is only one of each type of card in each suit.

P(card is a diamond) = 13/52

P(card is a diamond + king) = (13/52)×(1/13) = (13/676) = (1/52)

8 0
4 years ago
Read 2 more answers
You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,
marissa [1.9K]

Answer:

Step-by-step explanation:

win

There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.

There are 4 suits so the number of face cards is 3*4 =  12

There is 1 ace / suit

There are 4 suits so the number of aces is 1 * 4 = 4

The gain from the face cards = 12 * 13 = 156

The gain from the aces = 4 * 3 =               12

Total gain = 168

Losses

Any other card costs you $5

How many cards is that? 52 - 16 = 36

Each one costs 5 dollars

Total loss = 5 * 36 = 180

So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.

8 0
3 years ago
Which equation Can pair with x-y=-2 to create a consistent and dependent system
harina [27]

Given linear equation in standard form  x-y=-2.

Let us convert it in slope-intercept form first.

x-y =-2.

Subtracting x from both sides

x-x-y = -2-x

-y = -x-2.

Dividing both sides by -1, we get

y= x+2.

We can write it as y=1x+2.

Let us compare it with slope-intercept form y=mx+b.

On comparing, we get slope m= 1 and y-intercept b=2.

Let us check option -3x+3y=6.

Let us check it by converting in slope-intercept form.

Adding 3x on both sides we get

-3x+3x+3y=6+3x

3y = 3x + 6.

Dividing both sides each term by 3.

3y/3 = 3x/3 + 6/3.

y= 1x +2.

On comparing with slope-intercept form y=mx+b.

We got slope m=1 and y-intercept =2.

So, the equation in option B) -3x+3y=6 create a consistent and dependent system with x-y=-2.

5 0
3 years ago
Read 2 more answers
Liz flips a coin 60 times. The coin lands heads up 42 times and tails up 18 times. Complete each statement. The theoretical prob
alukav5142 [94]

Answer: The theoretical probability of the coin landing heads up is 0.7

Step-by-step explanation:

Hi, to answer this question we simply have to divide the number of times that the coin lands heads up (42 times) by the number of times that the coin was flipped:

Mathematically speaking:

42 /60 = 0.7 (decimal form)

The theoretical probability of the coin landing heads up is 0.7

For  the or percentage form we simply multiply the result by 100:

0.7 (100) = 70%

Feel free to ask for more if needed or if you did not understand something.  

5 0
3 years ago
A crane lifts a pallet of concrete blocks 7ft from the back of a truck. The truck drives away and the crane lowers the pallet 11
Dmitrij [34]

Answer:

The position of the concrete relative to its initial position is 4ft behind its initial position

Step-by-step explanation:

Let us analyze the problem following the sequence of events.

First of all, the crane is initially 7 ft from the back of the truck.

Once the truck drives away, the crane lowers the concrete at 11 ft away from the back of the truck.

To get this distance relative to the initial position, we have to subtract the initial position from the final position of the concrete.

This will  be

11ft - 7ft = 4 ft

The position of the concrete relative to its initial position is 4ft behind its initial position

5 0
3 years ago
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