Suppose we flip two pennies, three nickels and four dimes, What is the probability that the total value of all coins showing heads is equal to 0.31?

Suppose we roll one fair six-sided die, and flip six coins. What is the probability that the number of heads is equal to the number showing on the die?

Suppose we roll a fair six-sided die and then pick a number of cards from well-shuffled deck equal to the number showing on the die(for example, if die shows 4 then we pick 4 cards.)

a. what is the probability that the number of jacks in our hand equals 2 ?

b. conditional on knowing that the number of jacks in our hand equals 2, what is the conditional probability that the die showed the number3?

Please explain in detail.