Holly has a fair coin and a 10-sided die. If the coin comes up heads, then Holly rolls the die: if a 1 or 2 is rolled Holly wins $\$ 1$ and if a 3,4,5,6,7,8,9,10 is rolled Holly win a mug. If the coin comes up tails, then Holly rolls the die: if a 1,2,3,4,5,6,7 Holly wins $\$ 1$ and a mug and if $8,9,10$ is rolled Holly only wins a mug.
A. What is the probability that Holly wins $\$ 1$ ?
B. Holly wins a mug. What is the probability that the coin came up heads?

Question

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The Answer of Holly has a fair coin and a 10-sided die. If the coin comes up heads, then Holly rolls the die: if a 1 or 2 is rolled Holly wins $\$ 1$ and if a 3,4,5,6,7,8,9,10 is rolled Holly win a mug. If the coin comes up tails, then Holly rolls the die: if a 1,2,3,4,5,6,7 Holly wins $\$ 1$ and a mug and if $8,9,10$ is rolled Holly only wins a mug.
A. What is the probability that Holly wins $\$ 1$ ?
B. Holly wins a mug. What is the probability that the coin came up heads?

Holly Has a Fair Coin and a 10-Sided Die $1\$ 1$1

Holly Has a Fair Coin and a 10-Sided Die $\$ 1$