The game consists of a box having cards inside it, bearing
the numbers 1 to 200, one on each card. A person has to select a card at random. Now, the
winning of the prizes has the following conditions:
● Wall clock - If the number on the selected card is a perfect square.
● Power bank - If the number on the selected card is multiple of 3.
● Puppet - If the number on the selected card is divisible by 10.
● Water bottle - If the number on the selected card is a prime number more than 100 but
less than 150.
● Better Luck next time - If the number on the selected card is a perfect cube.
●On the basis of the above information, answer the following questions:
20(i) Find the probability of winning a puppet.
(a) 1/5 (b) 1/8 (c)1/10 (d) 2/15
20(ii) The probability of winning water bottles is
(a) 1/18 (b) 1/19 (c) 1/20 (d) 1/16
20(iii) The probability of winning a power bank is
(a) 3/10 (b) 11/50 (c) 33/100 (d) 1⁄8
20(iv) The probability of winning a wall clock is
(a) 7/100 (b) 51/100 (c) 19/100 (d) 27/100
20(v) The probability of getting “Better Luck next time” is ( )
(a) 1/40 (b) 1/80 (c) 1/20 (d) 1/60
Answers
Answer:
Let E be event of drawing a card with number divisible by 2 or 3 from the cards with numbers 1 to 20
Numbers divisible by 2 or 3 from 1 to 20=2,3,4,6,8,9,10,12,14,15,16,18,20
No. of favorable outcomes=13
Total no. of possible outcomes =20
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
20
13
Therefore, the probability that a number on the card selected from numbers 1 to 20 divisible by 2 and 3 is
20
13
Solution(ii):
Let F be event of drawing a card with prime number from the cards with numbers 1 to 20
Prime numbers from 1 to 20=2,3,5,7,11,13,17,19
No. of favorable outcomes=8
Total no. of possible outcomes =20
We know that, Probability P(F) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
20
8
=
5
2
Therefore, the probability that a card with prime number is selected from numbers 1,2,3,...,20 =
5
2
Step-by-step explanation:
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