Question

A standard deck of 525252 cards contains 444 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 222 through 101010, a jack, a queen, a king, and an ace.

Zhi Qing decides to pick one card at random from a standard deck of 525252 cards. Let AAA be the event that she chooses a three card and BBB be the event that she chooses a seven card.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the card Zhi Qing chooses is either a three or a seven?

Answer 1

tawe

Explanation:

adada

Answer 2

`(2)/(13)`

Explanation:

Our sample space is the total number of cards in a deck, n(S)=52

Event A: Event that she chooses a three card

Number of 3 cards in a deck, n(A)=4

Event B: Event that she chooses a seven card.

Number of 7 cards in a deck, n(B)=4

In Probability, P(A or B)=P(A)+P(B)

`P(A)=(n(A))/(n(S))= (4)/(52)= (1)/(13)\\P(B)=(n(B))/(n(S))= (4)/(52)= (1)/(13)\\P(A\: or \: B) = (1)/(13)+ (1)/(13)\\= (2)/(13)`

The probability that Zhi Qing chooses is either a three or a seven is 2/13.