To prize this kind of question, you need to ask yourself:
How many full possibilities space there? (52)
How countless possibilities fite the condition? (For instance there space 13 Spades in a conventional deck.)
Divide the answer native 2. Through the answer from 1. So the probability of illustration a Spade is 13/52 i beg your pardon is the exact same as 1/4.
You are watching: A card is drawn from a standard deck of 52 playing cards find the probability
Find how plenty of of the cards out 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 jacks in the deck, 2/52)
Title: One map is attracted from a standard deck the 52 playing cards. Find the probability of each of the adhering to events:
1. A spade is drawn.
2. A 7 is drawn.
3. A spade or love is drawn.
4. A black jack is drawn.
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The sample space is a deck of cards (52).
We have four events, so each answer is express in a portion which is event/sample an are (E/S).
Event = A spade is drawn
Each suit consists of 13 cards, so 13/52 (1/4).
Event = A seven is drawn
There are only 4 sevens: 4 that diamonds, 4 the hearts, 4 of spades, and 4 of clubs. This is 4/52 (1/13).
Event = A spade or love is drawn
We have actually two suits and also each suit includes 13 cards, so the occasion is 13 * 2 = 26. Our portion is 26/52 (1/2).
Event = A black color Jack is drawn.
There are only 2 Jacks: Jack of Spades and Jack that Clubs. This is 2/52 (1/26).
The fountain can likewise be reduced too which I contained in parentheses.
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