हिंदी

Three Coins Are Tossed Simultaneously 200 Times with the Following Frequencies of Different Outcomes: Outcome3 Heads2 Heads1 Headno Headfrequency23727728 - Mathematics

Advertisements
Advertisements

प्रश्न

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:

Outcome 3 heads 2 heads 1 head No head
Frequency 23 72 77 28

Find the probability of getting at most two heads. 

संक्षेप में उत्तर

उत्तर

The total number of trials is 200.

Let be the event of getting at most two heads.

The number of times A happens is 28 + 77 +72 = 177 .

Remember the empirical or experimental or observed frequency approach to probability.

If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event is denoted by P (A) and is given by

P(A) = `m/n`

Therefore, we have P(A) = `177/200`.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 25: Probability - Exercise 25.2 [पृष्ठ १६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 25 Probability
Exercise 25.2 | Q 7 | पृष्ठ १६

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

To know the opinion of the students about the subject statistics, a survey of 200 students was conducted. The data is recorded in the following table.

Opinion Number of students
like 135
dislike 65

Find the probability that a student chosen at random

(i) likes statistics, (ii) does not like it


A coin is tossed 1000 times with the following frequencies:
Head: 455, Tail: 545
Compute the probability for each event.


Two coins are tossed simultaneously 500 times with the following frequencies of different outcomes:
Two heads: 95 times
One tail: 290 times
No head: 115 times
Find the probability of occurrence of each of these events.


The percentage of marks obtained by a student in monthly unit tests are given below:

Unit test: I II III IV V
Percentage of marks obtained: 69 71 73 68 76

 

 


Find the probability that the student gets:
(i) more than 70% marks
(ii) less than 70% marks
(iii) a distinction


Eleven bags of wheat flour, each marked 5 Kg, actually contained the following weights of flour (in kg):
4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 4.98, 5.04, 5.07, 5.00
Find the probability that any of these bags chosen at random contains more than 5 kg of flour.


Define a trial.

 

Which of the following cannot be the probability of an event?


Two coins are tossed simultaneously. The probability of getting atmost one head is


Two dice are thrown simultaneously 500 times. Each time the sum of two numbers appearing on their tops is noted and recorded as given in the following table:

Sum Frequency
2 14
3 30
4 42
5 55
6 72
7 75
8 70
9 53
10 46
11 28
12 15

If the dice are thrown once more, what is the probability of getting a sum more than 10?


Over the past 200 working days, the number of defective parts produced by a machine is given in the following table:

Number of
defective parts
0 1 2 3 4 5 6 7 8 9 10 11 12 13
Days 50 32 22 18 12 12 10 10 10 8 6 6 2 2

Determine the probability that tomorrow’s output will have

  1. no defective part
  2. atleast one defective part
  3. not more than 5 defective parts
  4. more than 13 defective parts

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×