Advertisements
Advertisements
Question
Find the probability that leap year selected at random, will contain 53 Sundays.
Solution
In a leap there are 366 days. In 366 days, we have 52 weeks and 2 days, Thus we can say that leap year has always 52 sundays.
The remaining two days can be
(i) Sunday and Monday
(ii) Monday and Tuesday
(iii) Tuesday and Wednesday
(iv) Wednesday and Thursday
(v) Thursday and Friday
(vi) Friday and Saturday
(vii) Saturday and Sunday
From above it is clear that there are 7 elementary events associated with this random experiment.
Clearly, the event A will happen if the last two days of the leap year are either Sunday and Monday or Saturday and Sunday.
n(E) = 2
P(E) = 2
∴ P(E) = `"n(E)"/"n(S)" = 2/7`.
APPEARS IN
RELATED QUESTIONS
Ramesh chooses a date at random in January for a party.
| January | |||||
| Mon | 6 | 13 | 20 | 27 | |
| Tue | 7 | 14 | 21 | 28 | |
| Wed | 1 | 8 | 15 | 22 | 29 |
| Thurs | 2 | 9 | 16 | 23 | 30 |
| Fri | 3 | 10 | 17 | 24 | 31 |
| Sat | 4 | 11 | 18 | 25 | |
| Sun | 5 | 12 | 19 | 26 | |
Find the probability that he chooses:
- a Wednesday
- a Friday
- a Tuesday or a Saturday.
A box contains 5 red marbles, 8 white marbles and 4 grem marbles. One marble is taken out of the box at randam.
What is the probability that the marble taken out wil be
(i) red?
There are 30 tickets numbered from 1 to 30 in the box and a ticket is drawn at random. If A is the event that the number on the ticket is a perfect square, then write the sample space S, n(S), the event A and n(A).
A card is drawn at random from a well-shuffled pack of 52 playing cards. Find the probability of the events that the card drawn is :
(a) a king (b) a face card.
One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card is drawn is red.
In a set of 25 cards, each card bears only one number from 1 to 25. One card is drawn randomly. Write the sample space for this random experiment
A box contains tokens numbered 5 to 16. A token is drawn at random. Find the probability that the token drawn bears a number divisible by:
- 5
- Neither by 2 nor by 3
Fill in the boxes:
Sunita choose a card from a well-shuffled deck of 52 cards.
Let F be the event that the choosen card is an eight of the spade.
Number of the eight of the spade = `square`
Thus, P(F) = `square/square`
= `square/square`
If a letter is choosen randomly from all the letters of the word 'MAINTAINANCE', what is the probability that the choosen letter is a vowel
If a letter is choosen randomly from all the letters of the word 'MAINTAINANCE', what is the probability that the choosen letter is a consonant
