Question

"Matilda is playing a game with a biased dice. The probability that she throws a six is 0.4.

a) What is the probability she does not throw a six?
Option 1: a 0.6
Option 2: a 0.4
Option 3: a 0.6
Option 4: a 0.4

b) Matilda throws the dice 70 times. Work out an estimate for the number of sixes she should expect to throw.
1) Matilda should expect to throw 28 sixes.
2) Matilda should expect to throw 42 sixes.
3) Matilda should expect to throw 18 sixes.
4) Matilda should expect to throw 50 sixes."

Answer 1

The probability Matilda does not throw a six with her biased dice is 0.6. She should expect to throw 28 sixes when rolling the dice 70 times.

Step-by-step explanation:

The question refers to the concept of probability in mathematics, where we determine the likelihood of various outcomes when a biased die is rolled. Matilda's biased die has a higher probability of landing on a six, specified as 0.4.

a) The probability that Matilda does not throw a six when rolling the biased die is determined by subtracting the probability of throwing a six from 1. Since the probability of getting a six is 0.4, the probability of not getting a six is given by:

1 - Probability of throwing a six = 1 - 0.4 = 0.6

Therefore, the probability she does not throw a six is 0.6.

b) To estimate the number of sixes Matilda should expect to throw over 70 rolls, we multiply the probability of throwing a six by the number of rolls:

Number of expected sixes = Probability of a six × Number of rolls = 0.4 × 70 = 28

So, Matilda should expect to throw 28 sixes when she rolls the dice 70 times.