To answer this kind of question, you need to ask yourself:
How many complete possibilities space there? (52)
How plenty of possibilities fite the condition? (For instance there are 13 Spades in a traditional deck.)
Divide the answer indigenous 2. By the answer from 1. For this reason the probability of illustration a Spade is 13/52 i beg your pardon is the 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 jacks in the deck, 2/52)
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Title: One card is attracted from a traditional deck that 52 playing cards. Discover the probability of each of the complying with events:
Full text:
1. A spade is drawn.
2. A 7 is drawn.
3. A spade or love is drawn.
4. A black jack is drawn.
To aid preserve questions and answers, this is an automatic copy of the initial text.
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The sample space is a deck of cards (52).
We have four events, so each answer is express in a fraction which is event/sample space (E/S).
Event = A spade is drawn
Each suit includes 13 cards, so 13/52 (1/4).
Event = A 7 is drawn
There are only 4 sevens: 4 of diamonds, 4 that hearts, 4 of spades, and also 4 of clubs. This is 4/52 (1/13).
Event = A spade or love is drawn
We have two suits and also each suit contains 13 cards, so the occasion 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 Jack of Clubs. This is 2/52 (1/26).
The fractions can also be diminished too i beg your pardon I included in parentheses.
See more: Why Is It Impossible For A Triangle To Contain A 180° Angle?
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