Respuesta :
Answer:
Probability that the sum of the two cards will be less than or equal to 17 is [tex]\dfrac{5}{6}[/tex]
Step-by-step explanation:
Let the probability of an event be denoted by 'P'.
We know that the probability of an event is defined as:
[tex]Probability=\dfrac{Number of favourable outcomes}{Total number of outcomes}[/tex]
The total number of outcomes of choosing a card is:
(6,1) (6,9) (8,1) (8,9) (10,1) (10,9)
Where the first entry denote a card number chosen by Lisa and second entry denote a card number chosen by Keari.
the sum of these entries is: (6,1)=6+1=7
(6,9)=6+9=15
(8,1)=9
(8,9)=17
(10,1)=11
(10,9)=19
The total number of outcomes=6
the number of outcomes such that the sum of the two cards will be less than or equal to 17(number of favourable outcomes)=5 { (6,1),(6,9),(8,1),(8,9),(10,1)}
P(sum of the two cards will be less than or equal to 17)= [tex]\dfrac{5}{6}[/tex].
