Advertisements
Advertisements
Question
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.
Solution
(i) Here, the total number of trials = 100 times
Number of heads got (H, H) = 21
`∴ "P(E)" ="Number of trials in which two heads occurs"/"Total number of trials"=21/100`
(ii) Total number of trials = 100 times
Number of extractly one heads = 55
∴ P(E) =`55/100=11/20`
(iii) Total number of trials = 100 times
Number of heads = 24
∴ Probability =`24/100=16/25`
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 head
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
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
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 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 80
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’)
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.
