Question

Julia has a set of cards with each labelled Cat, dog, hamster or rat.
Julia’s sister Lisa has a identical set of cards.
What is the probability that they both choose a card labelled dog?
Dog= 0.4
Cat=0.3
Hamster= 0.1
Rat=0.15

Answer 1

The probability that they both choose a card labeled dog is 0.16.

Step-by-step explanation:

We are given that Julia has a set of cards with each labeled Cat, dog, hamster, or rat.

Julia’s sister Lisa has an identical set of cards.

Dog = 0.4

Cat = 0.3

Hamster = 0.1

Rat = 0.15

As it is stated that the card having the label of a dog has a probability of 0.4.

The probability that they both choose a card labeled dog = Probability that Julia choose a card labeled dog  $\times$  Probability that Julia' sister choose a card labeled dog

=  $0.4 \times 0.4$

=  0.16

Hence, the probability that they both choose a card labeled dog is 0.16.

Answer 2

Answer:

a)0.15

b)0.45

c)0.16

Step-by-step explanation:

0.35+0.4+0.1+0.15=1

0.35+0.1 =0.45

p(a)+p(b)=p(a+b)

0.4 x 0.4 =0.16