Probability — Flashcards
Tamil Nadu Board · Class 9 · Mathematics
28 flashcards for Probability (Tamil Nadu Board Class 9 Mathematics) to test yourself on key terms and facts. Sample: "A dice is rolled. Find.
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A dice is rolled. Find the probability of getting a number greater than 4.
Answer
Step 1: Identify sample space S = {1, 2, 3, 4, 5, 6}, so n(S) = 6 Step 2: Identify favorable outcomes (numbers > 4): E = {5, 6}, so n(E) = 2 Step 3: Apply formula P(E) = n(E)/n(S) P(E) = 2/6 = 1/3 ≈ 0…
An urn contains 4 red balls, 6 blue balls, and 5 green balls. Find the probability of drawing a blue ball at random.
Answer
Step 1: Calculate total number of balls = 4 + 6 + 5 = 15, so n(S) = 15 Step 2: Favorable outcomes (blue balls) = 6, so n(E) = 6 Step 3: Apply formula P(E) = n(E)/n(S) P(E) = 6/15 = 2/5 = 0.4 Answer: T…
A coin is flipped. What is the probability of getting a tail?
Answer
Step 1: Sample space S = {H, T}, so n(S) = 2 Step 2: Favorable outcomes for tail E = {T}, so n(E) = 1 Step 3: Apply formula P(E) = n(E)/n(S) P(E) = 1/2 = 0.5 Answer: The probability of getting a tail …
Two coins are tossed simultaneously. Find the probability of getting exactly one head.
Answer
Step 1: List sample space S = {HH, HT, TH, TT}, so n(S) = 4 Step 2: Identify favorable outcomes (exactly one head): E = {HT, TH}, so n(E) = 2 Step 3: Apply formula P(E) = n(E)/n(S) P(E) = 2/4 = 1/2 = …
Two dice are rolled. Find the probability that the sum equals 7.
Answer
Step 1: Total outcomes when two dice are rolled = 6 × 6 = 36, so n(S) = 36 Step 2: Find favorable outcomes (sum = 7): (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) So n(E) = 6 Step 3: Apply formula P(E…
A manufacturer tested 5000 light bulbs and found 20 were defective. If a bulb is selected at random, what is the probability it is defective?
Answer
Step 1: Total number of trials n = 5000 Step 2: Number of defective bulbs (favorable outcomes) r = 20 Step 3: Apply empirical probability formula P(E) = r/n P(E) = 20/5000 = 1/250 = 0.004 Answer: The …
In a survey, out of 200 students, 75 preferred mathematics. Find the probability that a randomly selected student prefers mathematics.
Answer
Step 1: Total number of students surveyed n = 200 Step 2: Students who prefer mathematics r = 75 Step 3: Apply empirical probability formula P(E) = r/n P(E) = 75/200 = 3/8 = 0.375 Answer: The probabil…
The probability that it rains tomorrow is 3/5. What is the probability that it does NOT rain tomorrow?
Answer
Step 1: Let E = event of raining tomorrow, so P(E) = 3/5 Step 2: E' = complementary event (not raining tomorrow) Step 3: Use formula P(E') = 1 - P(E) P(E') = 1 - 3/5 = 5/5 - 3/5 = 2/5 = 0.4 Answer: Th…
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