Question

If a dice is rolled and a coin is tossed at the same time, find the probability of occuring prime number on the dice and head on the coin?

Answer 1

Answer: Your answer :)

Step-by-step explanation:

Answer 2

The probability of occuring prime number on the dice and head on the coin is 1/4

Given :

A dice is rolled and a coin is tossed at the same time

To find :

The probability of occuring prime number on the dice and head on the coin

Solution :

Step 1 of 3 :

Find total number of possible outcomes

Here it is given that a dice is rolled and a coin is tossed at the same time

So the event points are

= { (1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)}

So the total number of possible outcomes = 12

Step 2 of 3 :

Find the total number of possible outcomes for the event

Let A be the event that of occuring prime number on the dice and head on the coin

Then the event points for the event A are (2,H),(3,H),(5,H)

So the total number of event points for the event A is 3

Step 3 of 3 :

Find the probability

The probability of occuring prime number on the dice and head on the coin

$\sf{ =P(A) }$

$\displaystyle \sf{ = \frac{Number \: of \: favourable \: cases \: to \: the \: event \: A }{Total \: number \: of \: possible \: outcomes }}$

$\displaystyle \sf{ = \frac{3}{12} }$

$\displaystyle \sf{ = \frac{1}{4} }$

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