SOLUTION: Bob spins 2 spinners; one of which is labelled 1, 2, 3, and the other is labelled A, B, C and D. Given that all the outcomes are equally likely, find the probability that: a) t

Question 254760: Bob spins 2 spinners; one of which is labelled 1, 2, 3, and the other is labelled A, B, C and D.
Given that all the outcomes are equally likely, find the probability that:
a) the spinner stops at "2" and "C"
b) the spinner stops at "3" and either "B" or "D"
c) the spinners stop at "A" and any number
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Bob spins 2 spinners; one of which is labelled 1, 2, 3, and the other is labelled A, B, C and D.
---
Note: Spinner results are independent.
---------------------
Given that all the outcomes are equally likely, find the probability that:
a) the spinner stops at "2" and "C"
P(2 and C) = P(2)*P(C) = 1/3 * 1/4 = 1/12
---------------------------------------------
b) the spinner stops at "3" and either "B" or "D"
P(3 and (B or D)) = P(3) * P(B or D) = 1/3 * 2/4 = 1/6
-----------------------------------------------
c) the spinners stop at "A" and any number
P(A and any number) = P(A)*P(any number) = (1/4)*1 = 1/4
-----------------------------------------------
Cheers,
stan H.

RELATED QUESTIONS
A box contains four bolts. Two of them, labelled #1 and #2, are 5 mm diameter, and two of (answered by Fombitz)

Two tetrahedral dice, with faces labelled 1, 2, 3, 4 are thrown and the number on which... (answered by edjones)

In the picture you can see lines labelled 1 through 4.... (answered by Fombitz)

This question is from the CEMC math competition from last year. The parabola y = -x^2 (answered by MathLover1)

our labelled 2, 2, 3 and 5 are put in a hat, Three cards are drawn, one at a time, and... (answered by KMST)

Hi. I just asked this question, but forgot to add that the numbers on the spinners are... (answered by checkley71)

1. Suppose you decide to bet on red on each of 10 consecutive spins of the roulette... (answered by stanbon)

I have 5 identical balls and I have three buckets which are labelled A, B, C. (a) In how... (answered by edjones)

A triangle has vertices J( 1, 2), K(-3,-1) and L(O,-5). (Hint: Draw a labelled diagram) (answered by MathLover1)