Answer:
7%
Step-by-step explanation:
Given the following :
Total Number of cards left in deck = 10
Number of hearts left in deck = 3
Probability = (required outcome / Total possible outcomes)
Required outcome = hearts card in deck
Two cards are to be dealt to Satara without replacement :
Probability of 1st card being hearts :
P(1st card being hearts) = required outcome / Total possible outcomes
P(1st card being hearts) = 3 / 10
Probability of 2nd card being hearts :
Since it is without replacement :
Required outcome = (3 - 1). = 2
Total possible outcomes = (10 - 1) = 9
P(2nd card being hearts) = 2 /9
Probability of the two cards being hearts :
(3 / 10 × 2/9) = 6 /90 = 0.0666
0.06666 × 100% = 6.66%
= 7% (nearest whole number)
