What is the probability of getting head in coin and 5 in dice?

Aakash Shah

3 years ago

A fair coin is tossed and at the same time a fair dice is rolled. What is the probability of getting head in coin and 5 in dice? Find it.

1 Answer

Aakash Shah

3 years ago

Let, the event of getting head in a coin be H and the event of getting 5 in a die be F.

Then, P(H) = \(\frac12\) and P(F) = \(\frac16\)

To find, P(H∩F)

Here, H and F are independent events.

Then, by formula

P(H∩F) = P(H) x P(F)

= \(\frac12\) x \(\frac16\)

= \(\frac1{12}\)

The probability of getting head in coin and getting 5 in dice is \(\frac1{12}\)

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