Two coins are tossed simultaneously. What is the probability of getting both tails?


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Answer:

^@ \dfrac { 1 } { 4 } ^@

Step by Step Explanation:
  1. When two coins are tossed simultaneously, the possible outcomes are ^@ HH, HT, TH,^@ and ^@TT^@.

    Total number of possible outcomes = ^@4^@.

  2. Let ^@E^@ be the event of getting both tails.

    So, the favourable outcome is ^@TT^@.

    Number of favourable outcomes = ^@1^@. @^ \begin{aligned} \therefore \space P(\text{getting both heads}) = P(E) = \dfrac { \text {Number of favourable outcomes }} { \text { Total number of possible outcomes } } = \dfrac { 1 } { 4 }. \end{aligned} @^

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