A man tosses two different coins (one of \[\mathbf{Rs}\text{ }\mathbf{2}\] and another of \[\mathbf{Rs}\text{ }\mathbf{5}\]) simultaneously. What is the probability that he gets: \[\left( \mathbf{i} \right)\] at least one head? \[\left( \mathbf{ii} \right)\] at most one head?

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A man tosses two different coins (one of

$\mathbf{Rs}\text{ }\mathbf{2}$

and another of

$\mathbf{Rs}\text{ }\mathbf{5}$

) simultaneously. What is the probability that he gets:

$\left( \mathbf{i} \right)$

at least one head?

$\left( \mathbf{ii} \right)$

at most one head?

CBSE | Class 10 | Exercise 13.3 | Selina | Statistics and Probability

A man tosses two different coins (one of

$\mathbf{Rs}\text{ }\mathbf{2}$

and another of

$\mathbf{Rs}\text{ }\mathbf{5}$

) simultaneously. What is the probability that he gets:

$\left( \mathbf{i} \right)$

at least one head?

$\left( \mathbf{ii} \right)$

at most one head?

Solution:

We know that,

When two coins are tossed simultaneously, the possible outcomes are

$\left\{ \left( H,\text{ }H \right),\text{ }\left( H,\text{ }T \right),\text{ }\left( T,\text{ }H \right),\text{ }\left( T,\text{ }T \right) \right\}$