Michael is drawing a card from a standard deck of 52 cards, which includes 4 aces: the ace of clubs, the ace of diamonds, the ace of hearts, and the ace of spades. For each trial, he draws a card, records which card he drew, and returns it to the deck. He draws an ace 380 times. Of the times he draws an ace, which of the following would be a good estimate for the number of times the ace drawn is the ace of hearts?

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

actually what is a question i don't understand