In a bag, there are 8 roses, 7 jasmines and 6 sunflowers. One flower is picked…

2024

In a bag, there are 8 roses, 7 jasmines and 6 sunflowers. One flower is picked up randomly. What is the probability that it is neither rose nor Sunflower?

  1. A.

    7/19

  2. B.

    5/7

  3. C.

    1/3

  4. D.

    1/4

Attempted by 27 students.

Show answer & explanation

Correct answer: C

Step-by-Step Solution

  1. Calculate Total Possible Outcomes: Find the total number of flowers in the bag.

    • Total flowers = (Number of roses) + (Number of jasmines) + (Number of sunflowers)

    • Total flowers = 8 + 7 + 6 = 21.

  2. Identify Favorable Outcomes: The question asks for the probability that the flower is "neither a rose nor a sunflower." This means the flower must be a jasmine.

    • Favorable outcomes = Number of jasmines = 7.

  3. Calculate Probability: The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

    • Probability = 7 / 21.

  4. Simplify the Fraction: Both numbers are divisible by 7.

    • Probability = 1 / 3.

Explore the full course: Amcat Preparation