Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

A locker combination consists of two nonzero digits, and each combination consists of different digits. Event A is defined as choosing an odd number as the first digit, and event B is defined as choosing an odd number as the second digit.

The total sample will have 9 numbers

S = { 1,2,3,4,5,6,7,8,9} = 9

Even Number = { 2,4,6,8} = 4

Odd Number = { 1,3,5,7,9} = 5

P ( A ) = ( 4 / 9 )

P ( B ) = ( 5 / 9 )

The probability will be calculated as:-

P( A:B ) = $\dfrac{P(A)\times P(B)}{P(B)}$

P( A:B ) = $\dfrac{( 5/9 ) ( 4/9 )}{5 / 9 }$

P( A:B ) = 4 / 9

Therefore the correct answer is option B which is P ( A|B) will be ( 4 / 9 ).

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4 0

2 years ago

Kevin loves the new video game rental store and he has a membership. When Kevin rented 2 games, he had spent a total of $25 of h

sveticcg [70]

Answer:

Step-by-step explanation:

Let x represent the number of video games that Kevin rents.

Let y represent the total amount that he paid for x video games rental.

The slope intercept form of an equation is expressed as

y = mx + c

Where

m = slope

c = intercept

When Kevin rented 2 games, he had spent a total of $25 of his money. When Kevin rented 2 more video games (4 total), he then had spent $30 total of his money at this store all together. Therefore,

Slope, m = (30 - 25)/(4 - 2) = 5/2 = 2.5

To determine the intercept, c, we will substitute m = 2.5, x = 4 and y = 30 into y = mx + c. It becomes

30 = 2.5 × 4 + c

30 = 10 + c

c = 30 - 10 = 20

The Slope-Intercept Form to model how much Kevin pays per x video game rentals with his store membership becomes

y = 2.5x + 20

The cost per video game rental is $2.5

The membership fee is $20

6 0

3 years ago

If an outfit consist of jeans, shirt, a sweater and a scarf, how many different outfits can a person make from one pair of jeans

Natalija [7]

Answer:

Step-by-step explanation:

Just multiply the choices together.

1 *4 *3 * 2 = 24. The number is small enough that you could almost list all the choices.

4 0

4 years ago