Mathematics
(i) A lot of 20 bulbs contains 4 defective bulbs. One bulb is drawn at random from the lot. What is the probability that this bulb is defective ?
(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?
Probability
10 Likes
Answer
No. of defective bulbs = 4.
∴ No. of favourable outcomes = 4
P(getting a defective ball) = .
Hence, probability of getting a defective bulb = .
(ii) Since, one bulb is drawn at random and is not defective and is not replaced.
∴ No. of possible outcomes = 19.
∴ No. of good bulbs present = 15 (16 - 1)
∴ No. of favourable outcomes = 15
P(not getting a defective ball) = .
Hence, probability of not getting a defective bulb = .
Answered By
5 Likes
Related Questions
A bag contains a red ball, a blue ball and a yellow ball, all the balls being of the same size. If a ball is drawn from the bag, without looking into it, find the probability that the ball drawn is :
(i) yellow
(ii) red
(iii) blue
A bag contains 6 red balls, 8 blue balls and 10 yellow balls, all the balls being of the same size. If a ball is drawn from the bag, without looking into it, find the probability that the ball drawn is :
(i) yellow
(ii) red
(iii) blue
(iv) not yellow
(v) not blue
Two dice are thrown at the same time. Write down all the possible outcomes. Find the probability of getting the sum of two numbers appearing on the top of the dice as :
(i) 13
(ii) less than 13
(iii) 10
(iv) less than 10
Five cards :- the ten, jack, queen, king and ace of diamonds are well-shuffled with their face downwards. One card is then picked up at random.
(i) What is the probability that the card is the queen ?
(ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace ? (b) a queen ?