Asha and Naomi are rolling a six-sided die to determine who gets the larger half of a cookie that they are sharing. If Asha rolls a number less than 4, she will get the larger piece of the cookie. If Naomi rolls the number 4 or greater, she will get the larger piece. Who is more likely to win the larger piece of cookie? Explain your thinking.
Answers
Answer:
both are equally likely to win the piece
Answer: Probability is the same (0.5).
Step-by-step explanation:
Given :-
Asha will get the larger piece of cookie if she rolls a number < 4 (less than).
Naomi will get the larger piece of cookie if she rolls a number ≥ 4 (equal or greater than).
We also know that there are 6 faces in a single die, with 6 possibilities for the outcomes.
All the possibilities → 1 , 2 , 3 , 4 , 5 and 6
Out of which,
1 , 2 and 3 are less than 4. ( 3 possibilities )
4 , 5 and 6 are greater than or equal to 4. (3 possibilities)
By the formula,
Probability = No. Possible outcomes / Total no. of outcomes
∴ Probability of Asha getting the larger piece = 3/6 = 1/2 = 0.5
∴ Probability of Naomi getting the larger piece = 3/6 = 1/3 = 0.5
Hence, the probability for either of them getting the larger piece is the same (0.5 probability).