Answer:
≈ 0.0044
Step-by-step explanation:
The probability that the three cards you’ve drawn random from a standard deck are a 3 and two 5s is possible only when you
- first draw 5
- secondly draw 5
- thirdly draw 3
If one draws 3 first, then there is no probability that one draws 5 after, because all 5's are need to be removed after drawing 3.
The probability drawing 5 is . After removing cards with higher rank, remaining cards are 15. (four 2's, four 3's, four 4's and three 5's)
The probability of drawing another 5 is then . No card is removed else, since 5 is the highest rank. Thus, 14 cards left.
The probability of drawing 3 after two 5 is
To find all these events happening successively, we need the multiply their probabilities:
× × = ≈ 0.0044