Probability
Maharashtra Board · Class 10 · Mathematics
Flashcards for Probability — Maharashtra Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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What are the possible outcomes when one coin is tossed?
Answer
Step 1: A coin has two faces. Step 2: The outcomes are Head and Tail. Answer: S = {H, T}. So, n(S) = 2.
What are the possible outcomes when a die is thrown once?
Answer
Step 1: A die has 6 faces. Step 2: The upper face can show 1, 2, 3, 4, 5, or 6. Answer: S = {1, 2, 3, 4, 5, 6}. So, n(S) = 6.
What are the possible outcomes when three coins are tossed?
Answer
Step 1: Write all ordered outcomes. Step 2: List every combination. Answer: S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. So, n(S) = 8.
If two coins are tossed, what is the sample space?
Answer
Step 1: Each coin can show H or T. Step 2: Write all ordered pairs. Answer: S = {HH, HT, TH, TT}. So, n(S) = 4.
If two dice are thrown, how many outcomes are in the sample space?
Answer
Step 1: Each die has 6 outcomes. Step 2: For two dice, multiply: 6 × 6 = 36. Answer: n(S) = 36.
A card is drawn from a well shuffled pack of playing cards. How many outcomes are in the sample space?
Answer
Step 1: A pack of playing cards has 52 cards. Step 2: Each card is one possible outcome. Answer: n(S) = 52.
What is the sample space when a card is drawn from a pack of playing cards?
Answer
Step 1: Each of the 52 cards is one outcome. Step 2: The full list includes all cards in all 4 suits. Answer: The sample space has 52 sample points, so n(S) = 52.
A bag has 4 balls: 3 white and 1 black. What is the probability of getting a white ball?
Answer
Step 1: Favourable outcomes for white = 3. Step 2: Total outcomes = 4. Step 3: Use P(A) = n(A)/n(S) = 3/4. Answer: P(white) = 3/4.
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