1) P is C) 1/4 .
2) The probability of rolling an even number on a number cube and spinning red or yellow on the spinner is A) 1/2 .
3) The probability that the third digit is 7 is D) 1/7
4) The probability of spinning yellow on both spinners is C) 1/9
5) The probability that the second number is 3 is A) 1/27 .
The probability of flipping heads on a coin is 1/2. The probability of rolling an odd number on a number cube is 3/6 (since there are 3 odd numbers out of 6 possible outcomes).
Therefore, the probability of both events happening is:
P(A and B) = P(A) * P(B) = 1/2 * 3/6 = 1/4
The probability of rolling an even number on a number cube and spinning red or yellow on the spinner shown is 50%.
There are 3 even numbers on a number cube (2, 4, and 6), and there are 2 red and yellow segments on the spinner, so the probability of each event happening independently is 1/2.
The probability of the desired outcome (rolling an even number and spinning red or yellow) is the sum of the probabilities of the two paths that lead to it, which is 1/4 + 1/4 = 1/2.
There are 9 possibilities for the third digit (1,2,3,4,5,6,8,9, or 7). Since the first two digits are 9 and 8, the third digit cannot be 9 or 8. Therefore, there are 7 possibilities for the third digit.
The probability that the third digit is 7 is 1/7 = 77%.
The probability of spinning yellow on one spinner is 1/3, since there is one yellow section out of three total sections.
Therefore, the probability of spinning yellow on both spinners is:
(1/3) * (1/3) = 1/9 = 50%.
he probability of the second number being 3 is 1/27
The first number is already 3, so there are 9 possibilities for the second number.
There are 5 even numbers (2,4,6,8,0) and 4 odd numbers (1,3,5,7,9).
Therefore, the probability of the second number being 3 is 1/27.