Question

8.
A) In a bag x, there are 3 cards numbered 3, 5, 7 and in an another
bag y- there are 5 cards numbered 2, 4, 6, 8, 9. A card is drawn
at random from each bag. Write all the possible outcomes and
find the probability of sum of these two cards drawn is (1) odd
and (ii) more than 10.​

Answer 1

Answer:

Step-by-step explanation:

HERE,

sample space or all the possible outcomes are:

{3,2 or 3,4 or 3,6 or 3,8 or 3,9 or

5,2 or 5,4 or 5,6 or 5,8 or 5,9 or

7,2 or 7,4 or 7,6 or 7,8 or 7,9 }

Now , sum of the sample points are { 5,7,9,11,12,7,9,11,13,14,9,11,13,15,16} respectively

here, for (1) total outcomes = 15

but favourable outcomes = 12

therefore probability of their sum being odd is = 12/15 or, = 4/5

for (2) total outcomes = 15

but favourable outcomes = 9

therefore probability of their sum being more than ten is = 9/15 or, = 3/5