Question

Marlon's cat will be having four kittens. Marlon performs asimulation by tossing a coin to model whether thesekittens will be male or female.• Let heads (H) = female kitten• Let tails (T) = male kittenThe results of the simulation are:1. HTTT6. THHT2. THTT | 7. TTHH3. TTHH 8. HHTT4. HHHT 9. HHHT5. HHHH 10. THHTWhat is the estimated probability that at least three of the kittens will bemale?

Answer 1

ANSWER

The probability that at least three of the kittens will be male is 1/5

EXPLANATION

Given information

H represents a female kitten

T represents a male kitten

To find the probability that at least 3 of the kittens will be male, follow the steps below

Step 1: Define probability

$\text{ Probabilty = }\frac{\text{ possible outcome}}{\text{ total outcome}}$

From the table provided, you will see that we have 10 outcomes that contain male and female kittens.

For at least 3 male kittens, this implies that any outcome that has 3 Ts and more would satisfy the condition given

Hence, the possible outcomes are HTTT and THTT

$\begin{gathered} \text{ P\lparen at least 3 kittens will be male\rparen = }\frac{2}{10} \\ \text{ P\lparen at least 3 kittens will be male \rparen = }\frac{1}{5} \end{gathered}$

Therefore, the probability that at least three of the kittens will be male is 1/5