A single card is drawn from a standard deck of cards. Find the probability if the given information is known about the chosen card. (Enter the probability as a fraction.) P(queen|black)

Step-by-step explanation:

Given: A single card is drawn from a standard deck of cards.

To find: P(queen | black)

Solution:

Probability refers to chances of occurrence of any event.

Use the formula: P(A | B) = P(A∩B) ÷ P(B)

Let A denotes the event that the card drawn is queen.

Let B denotes the event that the card drawn is black.

Total number of cards = 52

Probability = Number of favorable outcomes ÷ Total number of possible outcomes

P(queen ∩ black) = P(card drawn is black and queen)

=

P(black)

Therefore,

P(queen | black) = P(queen ∩ black) ÷ P(black)

=

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

it's d

step-by-step explanation: