Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

In the solved example of drawing a card from a 52-card deck, what is the probability of drawing a Heart (E) or a Face Card (F)?
Options
A 13/52
B 12/52
C 3/52
D 11/26
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

As per Slides 11-12, P(E) = 13/52, P(F) = 12/52, and P(EF) = 3/52. Using the General Addition Rule P(E U F) = P(E) + P(F) - P(EF) = 13/52 + 12/52 - 3/52 = 22/52 = 11/26.

Hint

Remember to subtract the probability of the intersection when events are not disjoint.

Question Info