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lys-0071 [83]
3 years ago
14

A six-sided number cube is tossed and a coin is flipped.

Mathematics
2 answers:
Ann [662]3 years ago
4 0

Answer: The answer is 1/3, on the third attempt on the quiz, that's what it said.

Roman55 [17]3 years ago
4 0

Answer:  The required probability is \dfrac{1}{3}.

Step-by-step explanation:  Given that a six-sided number cube is tossed and a coin is flipped.

We are to find the probability of rolling a number greater than 2 and flipping heads.

The sample space for the event is

S =  {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

That is, n(S) = 12.

Let, 'A' denotes the event of rolling a number greater than 2 and flipping heads.

So, A = {3H, 4H, 5H, 6H}

That is, n(A) = 4.

Therefore, the probability of rolling a number greater than 2 and flipping heads is given by

P(A)=\dfrac{n(A)}{n(S)}=\dfrac{4}{12}=\dfrac{1}{3}.

The required probability is \dfrac{1}{3}.

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