select the correct answer from each drop - down menu. trey randomly selects one card a from a standard 52…

select the correct answer from each drop - down menu. trey randomly selects one card a from a standard 52 - card deck. the probability that treys card will be a heart or a black - suited card is, because the set of hearts and the set of black - suited cards are sets.

select the correct answer from each drop - down menu. trey randomly selects one card a from a standard 52 - card deck. the probability that treys card will be a heart or a black - suited card is, because the set of hearts and the set of black - suited cards are sets.

Answer

Answer:

The probability that Trey's card will be a heart or a black - suited card is $\frac{3}{4}$, because the set of hearts and the set of black - suited cards are mutually exclusive sets.

Explanation:

Step1: Determine number of hearts

There are 13 hearts in a 52 - card deck.

Step2: Determine number of black - suited cards

There are 26 black - suited cards (13 spades and 13 clubs) in a 52 - card deck.

Step3: Use addition rule for mutually exclusive events

Since hearts and black - suited cards are mutually exclusive (a card can't be a heart and black - suited at the same time), the number of favorable outcomes is $13 + 26=39$.

Step4: Calculate probability

The probability $P=\frac{39}{52}=\frac{3}{4}$.