English

Two Coins Are Tossed Simultaneously 100 Times and the Outcomes Are as Given Below: If the Same Pair of Coins is Tossed Again at Random, Find the Probability of Getting: (I) Two Heads

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.

Sum
Advertisements

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`

shaalaa.com
Concept for Feel of Probability Using Data Through Experiments.
  Is there an error in this question or solution?
Chapter 25: Probability - Exercise 22 (A)

APPEARS IN

R.K. Bansal Concise Mathematics [English] Class 7 ICSE
Chapter 25 Probability
Exercise 22 (A) | Q 7

RELATED QUESTIONS

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


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’)


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


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

  1. the person picked is a male?
  2. the person picked is a female?
  3. the person picked is a female aged 21-50?
  4. the person is a male with age up to 50 years?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×