ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    Two hats are picked at random, what is the probability

    that all hats are of green colour? A box contains 6 red, 4 blue, 2 green and 4 yellow hats.
    A 1/150 Correct Answer Incorrect Answer
    B 22/145 Correct Answer Incorrect Answer
    C 9/115 Correct Answer Incorrect Answer
    D 3/116 Correct Answer Incorrect Answer
    E 1/120 Correct Answer Incorrect Answer

    Solution

    Total number of hats = 6 + 4 + 2 + 4 = 16 Let S be the sample space. Then, n(S) = number of ways of drawing 2 hats out of 16 = ¹тБ╢CтВВ = (16 × 15)/( 2 × 1) = 120 Let E= event of drawing all the hats are of green colour n(E) = ²CтВВ = 1 ∴ P (E) = (n(E))/(n(S)) = 1/120

    Practice Next
    More Probability Questions
    ask-question