Question

you randomly select one card from a 52 card deck. find the probability of selecting a black three or a red jack

Answer 1

Answer:

Probability of selecting a black three or a red jack = 1/13

Explanations:

There are a total of 52 cards in a deck of cards

Total number of ways of selecting one card from 52 cards = 52C1 = 52 ways

There are two red jacks in a deck of cards

Number of ways of selecting a red jack = 2C1 = 2 ways

There are two blacks 3s in a deck of cards

Number of ways of selecting a black three = 2C1 = 2 ways

`\begin{gathered} \text{Probablity of selecting a black 3 = }(2)/(52)=\text{ }(1)/(26) \\ \text{Probability of selecting a red jack = }(2)/(52)=(1)/(26) \end{gathered}`

Probability of selecting a black three or a red jack = (1/26) + (1/26)

Probability of selecting a black three or a red jack = 2/26 = 1/13