find the probability of getting a prime number on the dice and head on the coin when a dice is rolled and a coin is tossed simultaneously.

According to the question,

The number of possible results,

Prime numbers,

Now,

The probability of getting a prime number will be:

=

=

then, by tossing the coin head's probability is "".

hence,

Getting both on single toss will be:

=

=

Thus the above answer is right.

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1/4

Step-by-step explanation:

For a die,

the number of possible results is 6

The prime numbers are 2,3,5

the probability of getting a prime number is thus; 3/6 = 1/2

Tossing a coin, the probability of getting a head is also 1/2

So the probability of getting both on a single toss will be;

1/2 * 1/2 = 1/4

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