Quantitative Reasoning: Probability Flashcards
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A box has 3 white, 2 black, and 5 gray balls. What is the probability of drawing a black ball?
Answer: 1/5
There are 2 black out of 10 total, so 2/10 = 1/5.
What is the probability of drawing a heart OR a spade from a standard deck?
Answer: 1/2
Hearts and spades make 26 of 52 cards, so 1/2.
If you draw two cards without replacement, what is the probability both are aces?
Answer: 1/221
(4/52) × (3/51) = 12/2652 = 1/221.
A jar has 5 green and 5 yellow candies. What is the probability of drawing green twice with replacement?
Answer: 1/4
Each draw is 1/2, so 1/2 × 1/2 = 1/4.
The probability of rain is 0.4 and snow is 0.1, mutually exclusive. What is the probability of either?
Answer: 0.5
For mutually exclusive events, add: 0.4 + 0.1 = 0.5.
A die is rolled. What is the probability of an odd number or a 6?
Answer: 2/3
Odds are 1,3,5 plus 6 gives 4 outcomes, so 4/6 = 2/3.
If P(A) = 0.6, P(B) = 0.5, and they are independent, what is P(A and B)?
Answer: 0.30
For independent events, multiply: 0.6 × 0.5 = 0.30.