The probability that Scarlett does not select a red card is 16/25
The correct answer is an option (B)
What is probability?
"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:
P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given question,
Scarlett selects a card at random from a deck that contains 18 red, 12 yellow, and 20 blue cards.
Total cards n(S) = 18 + 12 + 20
n(S) = 50
Let event A: Scarlett selects a red card
n(A) = 18
So, the probability of selecting red card would be,
⇒ P(A) = n(A) / n(S)
⇒ P(A) = 18/50
⇒ P(A) = 9/25
So, the probability of not selecting a red card would be,
⇒ P = 1 - P(A)
⇒ P = 1 - (9 / 25)
⇒ P = 16/25
Therefore, the probability that Scarlett does not select a red card is 16/25
The correct answer is an option (B)
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
