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OLEGan [10]
3 years ago
12

An experiment has four equally likely outcomes: E1, E2, Es, and E.Round your answers to three decimal places. a. What is the pro

bability that E occurs? .25 b. What is the probability that any two of the outcomes occur (e.g., E1 or Es)? 375 c. What is the probability that any three of the outcomes occur (e.g., E1 or E2 or E4)?
Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Answer:

a. 0.25

b. 0.50

c. 0.75

Step-by-step explanation:

P(E1) = 0.25

P(E2) = 0.25

P(Es) = 0.25

P(E) = 0.25

a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:

P(E) = \frac{1}{4}=0.25

b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring

P(two\ outcomes) = 2*P(one\ outcome) = \frac{2}{4}=0.50

c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring

P(three\ outcomes) = 1-P(one\ outcome) = 1-\frac{1}{4}=0.75

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Angie and Kenny play online video games. Angie buys 1 software package and 1 month of game play. Kenny buys 1 software package a
balandron [24]

The cost of one month of game play is $14

Step-by-step explanation:

Angie and Kenny play online video games

  • Angie buys 1 software package and 1 month of game play
  • Kenny buys 1 software package and 3 months of game play
  • Each software package costs ​$20
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We need to find the cost of one month of game play

∵ Angie buys 1 software package

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∵ Each software package costs ​$20

- Find the total cost of their software package

∴ The total cost of their software package = 20 × 1 + 20 × 1

∴ The total cost of their software package = 20 + 20 = 40

∴ The total cost of their software package is $40

Assume that the cost of one month of game​ play is $x

∵ The cost of one month of game​ play = x

∵ Angie buys 1 month of game play

∵ Kenny buys 3 months of game play

- Find the total cost of their game​ play

∴ The total cost of their game play = x × 1 + x × 3

∴ The total cost of their game play = x + 3x = 4x

∴ The total cost of their game play is $4x

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The cost of one month of game play is $14

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

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alexandr402 [8]

1) PEMDAS: 12 * 5 + 6 / 6

12 * 5 = 60

60 + 6 / 6

6 / 6 = 1

60 + 1 = 61

61 is the final answer.

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2 in the final answer.

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-10 is the final answer.

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15x = 25.

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