To prize this type of question, you have to ask yourself:
How many complete possibilities room there? (52)
How numerous possibilities fite the condition? (For instance there are 13 Spades in a traditional deck.)
Divide the answer from 2. By the answer native 1. So the probability of illustration a Spade is 13/52 i beg your pardon is the very same as 1/4.
You are watching: If one card is drawn from a standard deck of 52 playing cards what is the probability of
Find how numerous of the cards the end of 52 space in the deck then leveling the fraction
1: 1/4 (13 spades, 13/52) 2: 1/13 (4 7s, 4/52) 3: 1/2 (13 hears and 13 spades, 26/52) 4: 1/26 (2 black color jacks in the deck, 2/52)
Title: One card is drawn from a typical deck of 52 playing cards. Find the probability of every of the adhering to events:
1. A spade is drawn.
2. A seven is drawn.
3. A spade or heart is drawn.
4. A black jack is drawn.
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The sample an are is a deck that cards (52).
We have four events, so every answer is expressed in a portion which is event/sample room (E/S).
Event = A spade is drawn
Each suit contains 13 cards, for this reason 13/52 (1/4).
Event = A 7 is drawn
There are only 4 sevens: 4 that diamonds, 4 the hearts, 4 that spades, and also 4 that clubs. This is 4/52 (1/13).
Event = A spade or heart is drawn
We have actually two suits and also each suit contains 13 cards, so the event is 13 * 2 = 26. Our fraction is 26/52 (1/2).
Event = A black color Jack is drawn.
There are only 2 Jacks: Jack of Spades and also Jack of Clubs. This is 2/52 (1/26).
The fractions can also be reduced too i beg your pardon I contained in parentheses.
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