A coin is tossed 200 times and it is found that head comes up 114 times and tail 86 times if a coin is tossed at random, what is the probability of getting
a) a head
b) a tail?
Answers
a head=114/200=57/100
a tail =86/200=43/100
a)The probability of getting a head is 0.57.
b)The probability of getting a tail is 0.43.
Given,
A coin is tossed 200 times, and it is found that the head comes up 114 times and the tail 86 times if a coin is tossed at random.
To Find,
The probability of getting a head and a tail.
Solution,
Before solving the question, let's understand the concept of probability.
Probability:-The concept of probability has been introduced in mathematics as a way to determine the likelihood that an event will occur. In this case, the value ranges from zero to one.
The Formula for Probability:
Probability of event to happen P(E) = Number of favourable outcomes n(E)/Total Number of outcomes n(S).
Now, let's solve the question using the formula of probability.
a) a head
n(E) = 114
n(S) = 200
P(E) = n(E)/n(S)
= 114/200
On dividing we get,
= 0.57.
b) a tail.
n(E) = 86
n(S) = 200
P(E) = n(E)/n(S)
= 86/200
On dividing we get,
= 0.43.
a)The probability of getting a head is 0.57.
b)The probability of getting a tail is 0.43.
#SPJ2