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PPT: Probability

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PROBABILITY
Page 2


PROBABILITY
VOCABULARY
? Outcome – one possible result of a probability.
? Sample Space – the list of possible outcomes 
for a probability event.
? Random – outcomes that occur at random if each 
outcome is equally likely to occur.
? Simple Event – a specific outcome or type of 
outcome. 
? Complementary Events – the events of one 
outcome happening and that outcomes not 
happening are complimentary; the sum of the 
probabilities of complementary events is 1.
Page 3


PROBABILITY
VOCABULARY
? Outcome – one possible result of a probability.
? Sample Space – the list of possible outcomes 
for a probability event.
? Random – outcomes that occur at random if each 
outcome is equally likely to occur.
? Simple Event – a specific outcome or type of 
outcome. 
? Complementary Events – the events of one 
outcome happening and that outcomes not 
happening are complimentary; the sum of the 
probabilities of complementary events is 1.
REAL WORLD EXAMPLE:
Best Buy is having an IPOD giveaway. They put
all the IPOD Shuffles in a bag. Customers
may choose an IPOD without looking at the
color. Inside the bag are 4 orange, 5 blue, 6
green, and 5 pink IPODS. If Maria chooses
one IPOD at random, what is the probability
she will choose an orange IPOD?
P(orange) =
4
/
20
=
2
/
10
=
1
/
5
or 20%
Page 4


PROBABILITY
VOCABULARY
? Outcome – one possible result of a probability.
? Sample Space – the list of possible outcomes 
for a probability event.
? Random – outcomes that occur at random if each 
outcome is equally likely to occur.
? Simple Event – a specific outcome or type of 
outcome. 
? Complementary Events – the events of one 
outcome happening and that outcomes not 
happening are complimentary; the sum of the 
probabilities of complementary events is 1.
REAL WORLD EXAMPLE:
Best Buy is having an IPOD giveaway. They put
all the IPOD Shuffles in a bag. Customers
may choose an IPOD without looking at the
color. Inside the bag are 4 orange, 5 blue, 6
green, and 5 pink IPODS. If Maria chooses
one IPOD at random, what is the probability
she will choose an orange IPOD?
P(orange) =
4
/
20
=
2
/
10
=
1
/
5
or 20%
WHAT IS A PROBABILITY?
- Probability is the chance that some event will 
happen
- It is the ratio of the number of ways a certain 
event can occur to the number of possible 
outcomes
number of favorable outcomes
P(event) =
number of possible outcomes
Examples that use Probability:
(1) Dice, (2) Spinners, (3) Coins, (4) Deck of 
Cards, (5) Evens/Odds, (6) Alphabet, etc.
Page 5


PROBABILITY
VOCABULARY
? Outcome – one possible result of a probability.
? Sample Space – the list of possible outcomes 
for a probability event.
? Random – outcomes that occur at random if each 
outcome is equally likely to occur.
? Simple Event – a specific outcome or type of 
outcome. 
? Complementary Events – the events of one 
outcome happening and that outcomes not 
happening are complimentary; the sum of the 
probabilities of complementary events is 1.
REAL WORLD EXAMPLE:
Best Buy is having an IPOD giveaway. They put
all the IPOD Shuffles in a bag. Customers
may choose an IPOD without looking at the
color. Inside the bag are 4 orange, 5 blue, 6
green, and 5 pink IPODS. If Maria chooses
one IPOD at random, what is the probability
she will choose an orange IPOD?
P(orange) =
4
/
20
=
2
/
10
=
1
/
5
or 20%
WHAT IS A PROBABILITY?
- Probability is the chance that some event will 
happen
- It is the ratio of the number of ways a certain 
event can occur to the number of possible 
outcomes
number of favorable outcomes
P(event) =
number of possible outcomes
Examples that use Probability:
(1) Dice, (2) Spinners, (3) Coins, (4) Deck of 
Cards, (5) Evens/Odds, (6) Alphabet, etc.
What is a PROBABILITY?
0% 25% 50% 75%  100%
0 ¼ or .25   ½ 0r .5 ¾ or .75 1
Impossible Not Very     Equally Likely     Somewhat       
Certain
Likely Likely
0 ¼ or .25 ½ 0r .5 ¾ or .75 1
Impossible Not Very 
Likely 
Somewhat
Likely
Equally 
Likely
Certain
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FAQs on PPT: Probability

1. How do I calculate the probability of independent events happening together?
Ans. Multiply the individual probabilities of each independent event to find the combined probability. For example, if event A has probability 0.5 and event B has probability 0.4, the probability of both occurring is 0.5 × 0.4 = 0.2. This multiplication rule applies only when events don't influence each other's outcomes.
2. What's the difference between mutually exclusive events and independent events in probability?
Ans. Mutually exclusive events cannot occur simultaneously-if one happens, the other cannot. Independent events can both happen; one's occurrence doesn't affect the other's probability. For mutually exclusive events, P(A or B) = P(A) + P(B). For independent events, P(A and B) = P(A) × P(B).
3. How do I use conditional probability to solve real exam problems?
Ans. Conditional probability measures the likelihood of an event given another event already occurred, written as P(A|B). Calculate it using the formula: P(A|B) = P(A and B) / P(B). This helps answer questions like "what's the probability of selecting a red ball, given a ball was already removed?" Common in UPSC logic-based reasoning sections.
4. Why do students get confused between "and" versus "or" in probability questions?
Ans. "And" requires both events to occur simultaneously, using multiplication: P(A and B). "Or" requires at least one event to occur, using addition: P(A or B) = P(A) + P(B) - P(A and B). The subtraction term prevents double-counting overlapping outcomes, a frequent mistake in probability word problems.
5. What are the key probability formulas I need to memorize for CSAT questions?
Ans. Essential formulas include: basic probability P(A) = favorable outcomes / total outcomes; addition rule P(A or B) = P(A) + P(B) - P(A ∩ B); multiplication rule P(A and B) = P(A) × P(B|A); and complement rule P(A') = 1 - P(A). Refer to flashcards and mind maps on EduRev for visual reinforcement of these fundamental probability formulas and their applications.
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