Probability of Getting Both Tails
When a coin is tossed twice, we need to determine the possible outcomes and identify the specific outcome of getting two tails.
Sample Space Determination
The sample space represents all possible outcomes of tossing a coin twice. The outcomes are:
- Head on the first toss, Head on the second toss (HH)
- Head on the first toss, Tail on the second toss (HT)
- Tail on the first toss, Head on the second toss (TH)
- Tail on the first toss, Tail on the second toss (TT)
Therefore, the total number of possible outcomes is 4.
Favorable Outcome Identification
The question asks for the probability of getting both tails. The only outcome that matches this condition is TT.
The number of favorable outcomes is 1.
Probability Calculation
Probability is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.
Using LaTeX notation:
$ P(\text{Both Tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} $ $ P(\text{Both Tails}) = \frac{1}{4} $Thus, the probability of getting both tails when a coin is tossed twice is $\frac{1}{4}$.
Similar Questions
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Important Questions from Mixed Topic (CUET PG)
- Who was the founder of Bolshevik Communist party?
- What is the key guide to statecraft in the realist tradition?
- Chronologically arrange the events in the Cold War period.
A. Berlin Wall is constructed
B. Communist China joins the UN
C. Soviet invasion of Czechoslovakia
D. Berlin Blockade
Choose the correct answer from the options given below: Morgenthau's principles of political realism are:
A. Politics is rooted in permanent and unchanging human nature which is basically self centred, self-regarding and self-interested
B. Politics is an autonomous sphere of action and cannot therefore be reduced to morals
C. International Politics is an arena of conflicting self-interests
D. The ethics of international relations is situational ethics which is very different from private morality
Choose the correct answer from the options given below:Who among the following political thinkers consider the anarchical self help system to be a compelling factor for States to maximise their relative power positions?
