the list below shows all the possible outcomes for tossing a coin and rolling a 1 to 6 number cube. what is…

the list below shows all the possible outcomes for tossing a coin and rolling a 1 to 6 number cube. what is the probability that max tosses heads and rolls a number greater than 2? {h1,h2,h3,h4,h5,h6,t1,t2,t3,t4,t5,t6}

the list below shows all the possible outcomes for tossing a coin and rolling a 1 to 6 number cube. what is the probability that max tosses heads and rolls a number greater than 2? {h1,h2,h3,h4,h5,h6,t1,t2,t3,t4,t5,t6}

Answer

Explanation:

Step1: Determine total number of outcomes

The set of all possible outcomes has 12 elements, so the total number of outcomes $n(S)=12$.

Step2: Determine favorable outcomes

The favorable outcomes are when we have heads and a number greater than 2 on the cube. The favorable outcomes are ${H3, H4, H5, H6}$, so $n(A) = 4$.

Step3: Calculate probability

The probability $P(A)=\frac{n(A)}{n(S)}=\frac{4}{12}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$