Test Index

Probability

Question : 63 of 127

Marks: +1, -0

Solution:

Concept:

Conditional probability restricts the sample space to the given condition.

Explanation:

When two coins are tossed, the possible outcomes are:

\mathrm{HH}, \mathrm{HT}, \mathrm{TH}, \mathrm{TT}

Given that the first coin shows head, the reduced sample space is:

\mathrm{HH}, \mathrm{HT}

Among these, only

\mathrm{HT}

has the second coin showing a tail.

Thus, the required probability is

\frac{1}{2} = 0.50

Answer:

0.50

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