Advertisements
Advertisements
Question
A Ticket is randomly selected from a basket containing 3 green, 4 yellow, and 5 blue tickets. Determine the probability of getting:
(i) a green ticket
(ii) a green or yellow ticket.
(iii) an orange ticket.
Solution
Number of green tickets = 3
Number of yellow tickets = 4
Number of blue tickets = 5
Total Number of tickets = 3 + 4 + 5 = 12
(i) P (getting a green tickets) =`3/12=1/4`
(ii) Total Number of green and yellow tickets = 3 + 4 = 7 tickets
P (getting a green or yellow ticket) = `7/12`
(iii) Since, Basket contains green, yellow and blue tickets only.
∴ Number or orange tickets = 0
∴ P (getting an orange ticket) = `0/12=0`
APPEARS IN
RELATED QUESTIONS
A coin is tossed 80 times and the head is obtained 38 times. Now, if a coin tossed once, what will the probability of getting a tail
There are 8 marbles in a bag with numbers from 1 to 8 marked on each of them. What is the probability of drawing a marble with a number
(i) 3
(ii) 7
A bag contains 4 white and 6 black balls,- all of the same shape and same size. A ball is drawn from the bag without looking into the bag. Find the probability that the ball drawn is:
(i) a black ball
(ii) a white ball
(iii) not a black ball
Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 50
Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is 40
Five Students A, B, C, D, and E are competing in a long-distance race. Each student’s probability of winning the race is given below:
A → 20%, B → 22%, C → 7%, D → 15% and E → 36%
(i) Who is most likely to win the race?
(ii) Who is least likely to win the race?
(iii) Find the sum of probabilities given.
(iv) Find the probability that either A or D will win the race.
(v) Let S be the event that B will win the race.
(a) Find P(S)
(b) State, in words, the complementary event S’.
(c) Find P(S’)
Ten cards with numbers 1 to 10 written on them are placed in a bag. A card is chosen from the bag at random. Determine the probability of choosing:
(i) 7
(ii) 9 or 10
(iii) a number greater than 4
(iv) a number less than 6
A carton contains eight brown and four white eggs. Find the probability that an egg selected at random is:
(i) brown
(ii) white
A box contains 3 yellow, 4 green, and 8 blue tickets. A ticket is chosen at random. Find the probability that the ticket is:
(i) yellow
(ii) green
(iii) blue
(iv) red
(v) not yellow
The following table shows number of males and number of females of a small locality in different age groups.
Age in years | 10-20 | 21-50 | Above 50 |
Male | 8 | 12 | 6 |
female | 6 | 10 | 4 |
If one of the persons, from this locality, is picked at random, what is the probability that
- the person picked is a male?
- the person picked is a female?
- the person picked is a female aged 21-50?
- the person is a male with age up to 50 years?