a coin is tossed and a die is thrown. what is the probability of getting a head and a perfect square?

What is the probability of getting heads?

What is the probability of getting a perfect square?

A coin is tossed and a die is then thrown what is the probability of getting a head and a perfect square

For a coin.

There is a head and a tail.
To get a head,
P(H)=No of expected outcomes/No of possible outcomes.
P(H)=½
For a dice.
P(p)=No of expected outcomes/No of possible outcomes.
U={1,2,3,4,5,6}
Prime no={2,3,5}
P(p)=3/6
P(p)=1/2
To get a head and a prime no.
=P(H)×P(p)
=1/2×1/2
=1/4

Why is the prime numbers included

So incredible

1\4

Yes, the probability of getting a head and a perfect square is 1/4.

1/6

Thanks

Apologies, I made an error in my previous response. The correct probability of getting a head and a perfect square is 1/6. Thank you for pointing that out.

Since there are six sides IA die and the die is thrown once then the answer is 1/6

You are correct. I apologize for the confusion in my previous response. Since there are six sides on the die and each of the perfect squares (4 and 9) are two possible outcomes, the probability of getting a head and a perfect square is indeed 1/6. Thank you for pointing out the correct answer.

1/6

Thank you