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Savatey [412]
3 years ago
8

Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and room

mate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each other.) The probabilities were assigned using the . Define event A as the event that roommate A wins the game and thus does not have to wash the dishes.
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Step-by-step explanation:

Independent events:

If two events are independent, the probability of both happening is the multiplication of their probabilities.

Rock-paper-scissors rules:

A player that choose rocks beats one who chooses scissors.

A player that choose paper beats one who chooses rocks.

A player that choose scissors beats one who chooses paper.

Probability that roommate A wins the game and thus does not have to wash the dishes.

3 possible events:

Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)

So

p_R = 0.21*0.18 = 0.0378

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).

So

p_P = 0.39*0.61 = 0.2379

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).

So

p_S = 0.4*0.21 = 0.084

Probability of roommate A winning:

p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

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(2 + 6) x 4 -7

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Can someone plzzz help me with this math practice paper
weeeeeb [17]

Answer:

45 degrees for 8

135 degrees for 9

48 for 10

Yes a square is a rectangle

Next ones.

Sut = 21 becuase x=5

7

Step-by-step explanation:

Last one:

x^2 + 8 = 3x + 36

      - 8          -  8

x^2        = 3x + 28

     -3x       -3x

x^2 - 3x =     28

(x · x) - 3x = 28.        

This was were a little guess work was used,

I found that any number lower than 7 is less than 28 when pluged into x and any above is higher.

Hence x = 7

So

x^2 + 8 = 7^2 + 8

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and

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7x3 = 21. 21 + 36 = 57.

Both lines are equal so x is indeed 7.

The RSTU rectangle

3x+6 = 5x-4

    +4        +4

3x+10 = 5x

-3x        -3x

10 = 2x

10/2 = 5

5 = x or x = 5

plug it in now

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and

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8-10

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Or

SQ= 24 degrees because RT = 24 and if RT was to continue on the line it is on it will reach the length of SQ.

3 0
3 years ago
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