Answer:
P(A) = 1201/5525 or 0.2174
The probability that at least one ace will be in the three sampled cards is 1201/5525 or 0.2174
Step-by-step explanation:
Let P(A) represent the probability that at least one ace will be in the three sampled cards.
P(A) = 1 - P(A') ......1
Where;
P(A') is the probability that none of the three cards will be ace.
Number of ace in a standard 52 cards = 4
Number of non-ace in a standard 52 cards = 52-4 =48
P(A') = 48/52 × 47/51 × 46/50
P(A') = 4324/5525 = 0.7826
Substituting, the value into equation 1;
P(A) = 1 - P(A')
P(A) = 1 - 4324/5525
P(A) = 1201/5525 or 0.2174
The probability that at least one ace will be in the three sampled cards is 1201/5525 or 0.2174
