Lisa has 3 cards numbered 6, 8, 10 and keari has 3 cards numbered 1, 9, 9. if each of them select a card at random, what is the probability that the sum of the two cards will be less than or equal to 17?

Probability that the sum of the two cards will be less than or equal to 17 is  

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:

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)= .

37

step-by-step explanation: