Sherry has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each suit contains cards numbered 2 - 10, a jack, a queen, a king, and an ace.
Sherry randomly selects a card. Let A be the event that the card is a king and B be the event that it is a 3.
Which of the following statements are true?
Choose all answers that apply:
P(A | B ) = P(A), the conditional probability that Sherry selects a king given that she has chosen a 3 is equal to the probability that Sherry selects a king.
P(B | A ) = P(B), the conditional probability that Sherry selects a 3 given that she has chosen a king is equal to the probability that Sherry selects a 3.
Events A and B are independent events.
The outcomes of events A and B are dependent on each other.
P(A and B)=P(A)•P(B)

c) Events A and B are independent events.

The outcomes of events A and B are dependent on each other.

P(A and B)=P(A)•P(B)

Step-by-step explanation:

Given:

Total number, n = 52

Each suit contains 13 cards: 2 to 10, a jack, a queen, a king, and an ace.

Since there are 4 suits, it means the number of each card is four.

P(A) = event of picking a king

P(B) = event of picking a 3

Therefore the probability of picking a king =

Probability of picking a 3 =

Since only a card is picked, the probability a king is picked after picking a 3 is 0.

i.e P(A|B) = 0 ≠

option A is wrong

The probability a 3 is picked after picking a king is 0.

i.e P(B | A) = 0 ≠

option B is wrong

Events A and B are independent events.

The outcomes of events A and B are dependent on each other.

P(A and B)=P(A)•P(B)

Option C is correct.

x/3-10=8

x/3=18

x=48

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x