NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1Question 23
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question. 23
A girl finds the probability of winning the first prize in a lottery to be 0.08. If 6000 tickets are sold, how many tickets has she bought?
(A)
40
(B)
240
(C)
480
(D)
750
Detailed Answer with Explanation:
Step 1: Recall the formula for probability:
\( \text{Probability} = \dfrac{\text{Favourable outcomes}}{\text{Total outcomes}} \)
Step 2: Here,
- Probability = \(0.08\)
- Total tickets = \(6000\)
- Favourable outcomes = Number of tickets she bought (this is what we need to find).
Step 3: Put the values into the formula:
\( 0.08 = \dfrac{\text{Number of tickets bought}}{6000} \)
Step 4: Multiply both sides by 6000 to get the number of tickets:
\( \text{Number of tickets bought} = 0.08 \times 6000 \)
Step 5: Do the multiplication:
\( 0.08 \times 6000 = 480 \)
Final Answer: She has bought 480 tickets. Hence, the correct option is (C).