Probability MATHS - Probability

Suppose S is the event that will happen tomorrow and P(S) = 0.03. State in words, the complementary event S’.

In a single throw of a dice, find the probability of getting a number 6

In a single throw of a dice, find the probability of getting a number 4

A coin is tossed once. Find the probability of not getting a head

A coin is tossed once. Find the probability of getting a head

Suppose S is the event that will happen tomorrow and P(S) = 0.03. Find P(S’)

In a cricket match, a batsman hits a boundary 12 times out of 80 balls he plays, further, if he plays one ball more, what will be the probability that:
(i) he hits a boundary
(ii) he does not hit a boundary

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

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 80

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

A carton contains eight brown and four white eggs. Find the probability that an egg selected at random is:
(i) brown
(ii) white

A die is thrown, find the probability of getting:
a number greater than 4

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 survey of 50 boys showed that 21 like tea while 29 dislike it. Out of these boys, one boy is chosen at random. What is the probability that the chosen boy
(i) likes tea
(ii) dislikes tea

A dice is thrown 20 times and the outcomes are noted as shown below:

Outcomes	1	2	3	4	5	6
No. of times	2	3	4	4	3	4

Now a dice is thrown at random, find the probability of getting:

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 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

Two coins are tossed simultaneously 100 times and the outcomes are as given below:

Outcomes	Two heads (H, H)	Exactly one head (H T or T H)	No head (T T)
No. of times	21	55	24

If the same pair of coins is tossed again at random, find the probability of getting:
(i) two heads
(ii) exactly one head
(iii) no head.

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
(a) the person picked is a male?
(b) the person picked is a female?
(c) the person picked is a female aged 21-50?
(d) the person is a male with age up to 50 years?

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
(a) the person picked is a male?
(b) the person picked is a female?
(c) the person picked is a female aged 21-50?
(d) the person is a male with age up to 50 years?

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

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.

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’)