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Crazy boy [7]
2 years ago
12

A turn consists of rolling a standard die and tossing a fair coin. The game is won when the die shows a 1 or a 6 and the coin sh

ows heads. What is the probability the game will be won before the fourth turn
Mathematics
1 answer:
mojhsa [17]2 years ago
5 0

Answer:

0.5021 or about 50%

Step-by-step explanation:

chance of getting heads is 1 out of 2 =1/2

chance of getting 1or 6 is 2 out of 6 = 2/6

1/2 * 2/6= 2/12 reduced to   1/6

each turn you have a 1 0ut of 6 chance of winning

16% chance of winning so an 84% chance of losing

chance of losing  4 times is .84 ^4  =0.4979

chance of winning  is 1-(.84^4)= 0.5021

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Lubov Fominskaja [6]

Answer:

50 < 40 -5 + p

50 <-35 + p

-35    -35

15 < p

p < 15

At least 15 points.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
7. PHOTOGRAPHY Francine has a camera in which the distance from the lens to the film
Len [333]

Answer:

a) The height of the image = 11.2 millimeters

b) The distance between the camera and her friend = 2.24 meters

Step-by-step explanation:

<u>Part A: find the height of the image:</u>

distance from the lens to the film = 24 millimeters

distance from the lens to the her friend = 3 meters = 3000 millimeters

height of her friend = 140 centimeters = 1400 mm

the height of the image = x

Using the similarity :

\frac{x}{140} = \frac{24}{3000} \\x= \frac{140*24}{3000} = 1.12 cm = 11.2 mm.

<u>Part B: find the distance between the camera and her friend</u>

If the height of the image on the film of her friend is 15 millimeters.

Let the the distance between the camera and her friend = y

\frac{y}{24} = \frac{1400}{15} \\y = \frac{24 * 1400}{15} = 2,240 mm = 2.24 meters

5 0
3 years ago
Let us denote by P the set of all people, by S the set of people who are single, by C the set of people who have children, by W
natita [175]

Solution :

Given :

The events are as follows :

P : Set of all the people

S : Set of people those who are single

C : Set of people having children

W : Set of women

M : Set of men

a). Now set of married women having children is given by :

$\left( (P-S)-M \right) \cap C $

And set of single women who do not have any children : (S -C) - M

Thus the set of women those who are either married and have children or they are single and they do not have any children is represented by :

$\left( (S-C)-M\right) \cup \left( ((P-S)-M) \cap C \right) $

b). Set of Married men : $\left( (P-S) \cap M$

   Set of Married men : $\left( (P-S) \cap W$

   Set of all possible married who are heterosexual couples, that is, all possible pairings of the married men and the married women is represented by :

   $((P-S) \cap M) \cap ((P-S) \cap W )$

c). The number of all the possible married heterosexual couples will be represented by the cardinality of the above set, which represents the number of the elements in the set.

Thus the number of the married heterosexual couples is given by :

$n[((P-S) \cap M) \cap ((P-S) \cap W)]$

8 0
3 years ago
Jackie bought a circular rug to place on the floor in her bathroom. The rug has a diameter of 6 feet. What is the area of the ru
Genrish500 [490]
Hey!
The area of the circle would be 28.26 feet squared

Lets break it down:

The formula for the area is pi×radius×radius
We have the diameter, so to find the radius, we need to divide the diameter by 2. 6÷2=3
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6 0
3 years ago
Simplify each of the following expressions to find the length of the tightrope
sattari [20]
What is the length ?
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3 years ago
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