MATH: statistic/ probalitity - probability - need help problems with #15 (a-e).

Question

MATH: statistic/ probalitity
- probability
- need help problems with #15 (a-e).
- please explain/show the answer to the question

calculate the size of each sample space. Show your calculations. 15. There are 25 students in your class. The teacher chooses 3 at random a. You randomly choose a the set of shaded shapes. os shpe from the set of unshaded shapes,and then you randomly choose a shape from What is the probability of choosing an unshaded cube followed by a shaded cube? Show your calculations Olivia randomly spins the spinner. Show your calculations in answering the next two questions b 10 3 8 c If she spins twice, what is the probability that she will spin a number greater than 9 each time? d If she spins four times, what is the probability that the fourth spin results in an even number? You flip a coin 4 times. Show your calculations in answering each question. What is the probability that the coin will land on heads the first two times and tails the last two times? e

Explanation / Answer

Spinner Question:
Tehre are total 12 distinct numbers on the spinner and on spinning it there is equal probability of getting any number.

c) There are 3 numbers which are greater than 9.
Probability of getting a number greater than 9 in one spin is 9/12.

Hence required probability of getting a number greater than 9 each time is
(9/12)*(9/12) = 0.5625

d)
There are 6 even numbers, hence probability of getting even number on any spin is 6/12 = 0.5

As spins are independent, probability of getting even number on 4th spin is 6/12 = 1/2 = 0.5

Coin Problem:
Probability of getting head is 1/2 and tail 1/2 on any toss.

Required probility of getting heads first two times and tails the two times is (1/2)*(1/2)*(1/2)*(1/2)= 0.0625

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