Satish puts 5 yellow 3 blue balls in a closed box his brother Manish picks two balls at random.calculate the probability that ball picked are the same colour.
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Answer:
The probability of getting a ball of the same color is = 17/32
Step-by-step explanation:
The total number of balls = 5 + 3 = 8 balls.
The probability of getting a yellow ball = 5/8
The probability of getting a blue ball = 3/8
The probability that both balls are blue is given by :
P(Blue and Blue) = P(blue) × P(blue)
= 3/8 × 3/8 = 9/64
The probability that the two balls are yellow is :
P(Yellow and Yellow) = P(yellow) × P(yellow) = 5/8 × 5/8 = 25/64
Probability that the two balls are of the same color is :
P(two are blue or yellow) =
P(blue and blue) or P(yellow and yellow) = 9/64 + 25/64 = 17/32
The probability of getting a ball of the same color = 17/32
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