Question

. A coin is tossed 400 times and outcomes are tail: 230, head : 170. Find the probability of getting each event.

Answer 1

Answer:

Step-by-step explanation:

We know,

Probability of an event = favourable outcomes/ total outcomes

So clearly,

Probability of getting a head =170/400

Probability of getting a tail = 230/400

Answer 2

Given,

A coin is tossed 400 times and outcomes are tail: 230, head : 170.

To find,

The probability of getting each event.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The probability of occurrence of a favorable event = P (favorable event)

= (Total number of occurrence of the favorable event) / (Total number of occurrence of all possible events)

= (Total number of occurrence of the favorable event) / (Total number of trials)

(a) As per the given question;

The favorable event is the occurrence of a head.

Frequency of occurrence of the favourable event

= number of times head occured = 170

And, the total number of trials = total number of times the coin is tossed = 400

So, the probability of getting a head

= P (getting a head)

= (Total number of occurrence of the favorable event)/(Total number of trials)

= (170)/(400) = 0.425

(b) As per the given question;

The favorable event is the occurrence of a tail.

Frequency of occurrence of the favourable event

= number of times tail occured = 230

And, the total number of trials = total number of times the coin is tossed = 400

So, the probability of getting a tail

= P (getting a tail)

= (Total number of occurrence of the favorable event)/(Total number of trials)

= (230)/(400) = 0.575

Hence, the probability of getting a head and tail is equal to 0.425 and 0.575, respectively.