Answer:
0.079
Step-by-step explanation:
Number of suit of hearts = 13
Total number of cards in deck = 52
P(drawing a suit of heart) = number of suit of heart / total number of cards in deck
P(drawing a suit of heart) = 13 /52 = 1 /4
Hence, Probability of success, p = 1/4
P(not drawing a suit of heart) = 1 - 1/4 = 3/4
Hence, Probability of performing exactly 5 draws :
To perform exactly 5 draws :
1st draw = not a heart suit
2nd draw = not a heart suit
3rd draw = not a heart suit
4th draw = not a heart suit
5 draw = a heart suit
P(performing exactly 5 draws) =
(3/4 * 3/4 * 3/4 * 3/4 * 1/4)
= 0.0791015625
= 0.079
