NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question 23

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).

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.1 | Detailed Answers