Question 14 Marks
Two coins are tossed simultaneously 500 times and the outcomes are noted as given below:
If same pair of coins is tossed at random, find the probability of getting:
|
Outcome:
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Two heads (HH)
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One head (HT or TH)
|
No head (TT)
|
|
Frequency:
|
105
|
275
|
120
|
-
Two heads
-
One head
-
No head
Answer
View full question & answer→Number of trials = 500
Number of outcomes of two heads (HH) = 105
Number of outcomes of one head (HT or TH) = 275
Number of outcomes of no head (TT) = 120
Number of outcomes of two heads (HH) = 105
Number of outcomes of one head (HT or TH) = 275
Number of outcomes of no head (TT) = 120
- Probability of getting two heads $=\frac{\text{Frequency of getting 2 heads}}{\text{Total No. of trails}}=\frac{105}{500}=\frac{21}{100}$
- Probability of getting one heads $=\frac{\text{Frequency of getting 1 heads}}{\text{Total No. of trails}}=\frac{275}{500}=\frac{11}{20}$
- Probability of getting no head $=\frac{\text{Frequency of getting no heads}}{\text{Total No. of trails}}=\frac{120}{500}=\frac{6}{25}$