Advertisements
Advertisements
प्रश्न
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’)
Advertisements
उत्तर
Given probabilities of five students A, B, C, D, and E such as
P(A) = 20%, P(B) = 22%, P(C) = 7%, P(D) = 15%, and P(E) = 36%
(i) The mostly chance of winning the race is of Student E. ..........[∵ P(E) = 36% maximun]
(ii) The least chances of winning the race is of Student C. ..........[∵ P(C) = 7% minimum]
(iii) The sum of the probabilities
= P(A) + P(B) + P(C) + P(D) + P(E)
= 20% + 22% + 7% + 15% + 36%
= 100%
(iv) Favourable outcomes that either A or D will win = 20% + 15% = 35%
P(either A or D will win) =`35/100=7/20`
(v) (a) Favourable outcomes that B will win = 22%
P(S) =`22/100=11/50`
(b) S' = B will not win the race.
(c) P(S') = 1 − P(S)
= `1-11/50=(50-11)/50=39/50`
APPEARS IN
संबंधित प्रश्न
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 head
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:
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
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.
In a single throw of a dice, find the probability of getting a number 4
In a single throw of a dice, find the probability of getting a number 6
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
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?
