Question

*MATHS HW*

1. In a lottery, there are 5 prized tickets and 995 blank tickets. A person buys a lottery ticket. Find the probability of his winning a prize.

2. A box contains 7 blue, 8 white and 5 black marbles. If a marble is drawn at random from the box, what is the probability that it will be
(i) black?

(ii) blue or black?

(iii) not black?

(iv) green?

3. A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Peter, a trader, will only accept the shirts which are good, but Salim, another trader, will only reject the shirts which have major defects. One shirts is drawn at random from the carton. What is the probability that

(i) it is acceptable to Peter ?

(ii) it is acceptable to Salim ?​

Answer 1

Answer:

Q1 Total outcomes = 1000

P(E) = 5/1000 = 1/200

Q2 Total outcomes = 20

1) P(E) = 5/20 = 1/4

2) P(E) = 12/20 = 6/10

3) P(E) = 15/20 = 3/4

4) P(E) = 0

Q3 Total outcomes = 100

1) P(E) = 88/100 = 44/50 = 22/25

2) P(E) = 96/100 = 48/50 = 24/25

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