Quantitative Reasoning: Probability Flashcards
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Read the first 7 Quantitative Reasoning: Probability flashcards as text
How many ways can 4 different books be arranged on a shelf?
Answer: 24
4! = 4 × 3 × 2 × 1 = 24 arrangements.
From 6 people, how many ways can a committee of 2 be chosen?
Answer: 15
C(6,2) = 6!/(2!·4!) = 15.
A coin is flipped 3 times. What is the probability of exactly two heads?
Answer: 3/8
Three of eight outcomes have exactly two heads, so 3/8.
In how many ways can the letters of the word 'DAT' be arranged?
Answer: 6
Three distinct letters give 3! = 6 arrangements.
A bag has 7 marbles. What is the probability of drawing a specific one in a single draw?
Answer: 1/7
One favorable outcome of 7 equals 1/7.
How many three-digit codes can be made using digits 0–9 if repetition is allowed?
Answer: 1000
10 × 10 × 10 = 1000 possible codes.
What is the probability of rolling a die and getting a multiple of 3?
Answer: 1/3
Multiples of 3 are 3 and 6, so 2/6 = 1/3.