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Answer:
The probability that the first card chosen is club and second card chosen is of heart is .
Step-by-step explanation:
Total number of cards in the deck is 52 (total number of cases).
Probability of an event E can be formulated as:
For event A, number of cards of type club = 13 (favorable cases)
So,
For event B, number of cards of type heart = 13 (favorable cases)
So,
It is given that card is replaced before choosing the second card.
These events A and B are independent events, happening of one event does not effect the happening of other. And probability of both happening together can be found as following:
The probability that the first card chosen is club and second card chosen is of heart is .
The angles shown are supplementary, it means when we add them together, they add up to 180°:
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or
Add like terms:
Divide both sides by 6 in order to isolate x:
The exterior angle is:
The interior angle is:
or