Question

Julia's sister, Lisa, has an identical set of cards. They both choose one card at random from their set of cards. What is the probability that they both choose a card labelled dog???

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.