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10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    Two unbiased coins are tossed simultaneously then the probability of getting no head is \[\frac{A}{B}\], then \[{{\left( A+B \right)}^{2}}\]is equal to

    A) 1

    B) 4

    C) 5

    D) 25

    Correct Answer: D

    Solution :

    If two unbiased coins are tossed simultaneously we obtain possible outcomes. HH, HT, TH, TT \[\therefore \]Total number of outcomes = 4 No head is obtained if the event TT occurs. \[\therefore \]Number of favourable outcomes = 1 \[\therefore \] Required probality \[=\frac{1}{4}\] But, given probability \[=\frac{A}{B}\] So, \[A=1\] and B= 4 Therefore, \[{{\left( A+B \right)}^{2}}={{\left( 1+4 \right)}^{2}}\] \[={{\left( 5 \right)}^{2}}=25\]


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