if you randomly select a card from a well - shuffled standard deck of 52 cards, what is the probability that…

if you randomly select a card from a well - shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or 6? (your answer must be in the form of a reduced fraction.)

if you randomly select a card from a well - shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or 6? (your answer must be in the form of a reduced fraction.)

Answer

Explanation:

Step1: Find the number of hearts

There are 13 hearts in a deck.

Step2: Find the number of 6s

There are 4 sixes in a deck.

Step3: Subtract the overlap

The 6 of hearts is counted twice. So we subtract 1. Total favorable = (13 + 4-1=16)

Step4: Calculate the probability

Probability (P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{16}{52})

Step5: Simplify the fraction

Divide numerator and denominator by 4: (\frac{16\div4}{52\div4}=\frac{4}{13})

Answer:

(\frac{4}{13})