When randomly choosing 2 cards from a deck of cards without replacement what is the probability of choosing a club and then a heart

Hence, the total probability(P) of randomly choosing 2 cards from a deck of cards without replacement such that the first card is club and then a heart is: 0.06373.

Step-by-step explanation:

We know that in a deck of 52 playing cards the suits are divided into 4:

" Heart, Club,Diamond and Spade"

i.e. there are total 13 cards each which are Heart, Club,Diamond and Spade.

Hence, the probability of choosing the first card to be Club out of total 52 playing cards is:

similarly the probability of choosing second card to be Heart out of 51 playing cards  is:

Hence, the total probability(P) of randomly choosing 2 cards from a deck of cards without replacement such that the first card is club and then a heart is:

Hence,

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.