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प्रश्न
A bag contains 3 red balls, 4 blue balls and 1 yellow ball, all the balls being identical in shape and size. If a ball is taken out of the bag without looking into it; find the probability that the ball is neither yellow nor red.
उत्तर
Total number of balls in the bag = 3 + 4 + 1 = 8
Number of possible outcomes = 8 = n(S)
Neither yellow ball nor red ball means a blue ball
Event of not drawing a yellow or red ball = E = 4
n(E) = 4
Probability of not drawing a yellow or red ball = `(n(E))/(n(S)) = 4/8 = 1/2`
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Solution:
Suppose ‘S’ is sample space.
∴ n(S) = 52
Event A: Card drawn is a red card.
∴ Total red cards = `square` hearts + 13 diamonds
∴ n(A) = `square`
∴ p(A) = `square/("n"("s"))` ....formula
∴ p(A) = `26/52`
∴ p(A) = `square`
