Three coins are tossed. What is probability of getting Neither 3 heads nor 3 tails?
A) 1\2 B) 1\3 C) 2\3 D) 3\4
Answers
(i) Probability of 3 heads = 1/8 Also, Probability of 3 tails =1/8.
Required probability = 1- (1/8 + 1/8) = 6/8 = 3/4.
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The correct answer is option D) 3/4.
Given:
Three coins are tossed.
To Find:
The probability of getting neither 3 heads nor 3 tails.
Solution:
Probability is the possibility or the likelihood of happening of an event. It is calculated as:
Probability = Number of favorable outcomes/ Total number of outcomes.
We are given the event of tossing three coins together. Assuming that it is a fair throw, we will get the possibilities of the outcome are:
{HHH,TTT,HHT,HTH,THH,TTH,THT,HTT}
We observe that the total number of outcomes = 8.
There is one outcome involving three heads and three tails each.
The total numbers of possible outcomes having neither 3 heads nor 3 tails are 8-2 = 6, and are given as follows:
{HHT, HTH, THH, TTH, THT, HTT}.
Hence, number of favorable outcomes = 6.
∴ The probability of getting neither 3 heads nor 3 tails
= Number of favorable outcomes/ Total number of outcomes
= 6/8
= 3/4.
The correct answer is option D) 3/4.
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