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  • Need explanation for: Each of the two persons A and B toss a fair coin simultaneously 50 times. The probability that both of them will not get head at the same toss is

Each of the two persons A and B toss a fair coin simultaneously 50 times. The probability that both of them will not get head at the same toss is

  • Option 1)

    \left ( \frac{3}{4} \right )^{50}

     

     

     

  • Option 2)

    \left ( \frac{2}{7} \right )^{50}

  • Option 3)

    \left ( \frac{1}{8} \right )^{50}

  • Option 4)

    \left ( \frac{7}{8} \right )^{50}

 

Answers (1)

best_answer

 

As we learned

 

Probability of Distribution of the Random Variable -

If the value of a random variable together with the corresponding probabilities are given then this description is called a probability distribution of the random variable.

-

 

 At any trial four cases arise

(i)  both A and B get head                    (ii) A gets head, B gets tail

                 (iii) A gets tail, B gets head  (iv) both get tail

Þ         P(they do not get head simultaneously on a particular trail = \frac{3}{4}

Þ         P(they do not get heads simultaneously in 50 trials) = \left ( \frac{3}{4} \right )^{50}


Option 1)

\left ( \frac{3}{4} \right )^{50}

 

 

 

Option 2)

\left ( \frac{2}{7} \right )^{50}

Option 3)

\left ( \frac{1}{8} \right )^{50}

Option 4)

\left ( \frac{7}{8} \right )^{50}

Posted by

Himanshu

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